Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Feed/ChannelFeed.php on line 104

Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Feed/ChannelFeed.php on line 109

Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80

Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80

Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80

Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80
https://qclab.korea.ac.kr/QCLab/index.php?action=history&feed=atom&title=Topological_phases_in_low-dimensional_quantum_materials Topological phases in low-dimensional quantum materials - Revision history 2025-12-18T17:16:44Z Revision history for this page on the wiki MediaWiki 1.43.0
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581

Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298

Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
https://qclab.korea.ac.kr/QCLab/index.php?title=Topological_phases_in_low-dimensional_quantum_materials&diff=2143&oldid=prev LeeMyeongwon: Created page with "Dr. Hong, Seung Sae (Stanford University) * Speaker: Dr. Hong, Seung Sae (Stanford University) * Date: Wednesday May 30,..." 2018-10-23T13:34:24Z <p>Created page with &quot;<a href="/QCLab/index.php/File:S-S_Hong.jpg" title="File:S-S Hong.jpg">thumb|x300px|Dr. Hong, Seung Sae (Stanford University)</a> * Speaker: <a href="/QCLab/index.php/Hong,_Seung_Sae" title="Hong, Seung Sae">Dr. Hong, Seung Sae (Stanford University)</a> * Date: Wednesday May 30,...&quot;</p> <p><b>New page</b></p><div>[[file:S-S_Hong.jpg|thumb|x300px|Dr. Hong, Seung Sae (Stanford University)]]<br /> * Speaker: [[Hong, Seung Sae|Dr. Hong, Seung Sae (Stanford University)]]<br /> * Date: Wednesday May 30, 2018 05:00pm<br /> * Place: 이학관 432<br /> <br /> <br /> The concept of topology has been broadly applied to modern condensed matter physics. The talk will discuss how the materials in the reduced dimension offer new opportunities to observe topological effects in electronic and crystalline structures, with examples from two distinct quantum materials families - topological insulators and complex oxides.<br /> <br /> In the first part, I will describe the experiments on topological insulator nanostructures (Bi2Se3), with an insulating gap in the bulk and gapless surface states. The rational nanomaterial design allows us to access quantum transport of the spin-textured surface electrons, manifesting a spin-Berry&#039;s phase via 1D helical modes. <br /> <br /> The second part will be focused on the crystalline order of complex oxides (SrTiO3) in the 2D limit. Atomically controlled oxide layers are released by dissolving an underlying epitaxial layer, where we observe that the lattice collapses below a critical thickness (5 unit cells). This crossover from algebraic to exponential decay of the crystalline coherence length reflects the 2D topological Berezinskii-Kosterlitz-Thouless (BKT) transition, driven by chemical bond breaking at the 2D layer - 3D bulk interface.<br /> <br /> <br /> [[Category:Seminars]]<br /> [[Category:Condensed Matter Seminars]]</div> LeeMyeongwon