ÍØÆËÎïÏàµÄÖ÷ÒªÌØÕ÷ΪÄÜ϶¼ä±£´æÊÜÌåÍØÆ˱£»¤µÄ½çÏß̬£¬£¬ÕâÀàÎï̬ͨ³£Óɽç˵ÔÚÕû¸ö²¼ÀïÔ¨ÇøÄÚµÄÍØÆËÎȹÌÁ¿Ãè»æ¡£½üÄêÀ´£¬£¬Ò»ÀàÐÂÐ͵ĸ߽×ÍØÆËÏàÊܵ½ÆÕ±é¹Ø×¢£¬£¬ÆäÖУ¬£¬¾ßÓÐn½×ÍØÆËÐÔ×ÓµÄdάϵͳ£¬£¬ÆäÍØÆ˽çÏß̬¾ÖÓòÔÚϵͳµÄ(d-n)ά½çÏßÉÏ¡£Óë¹Å°åÍØÆËÏàÏà±È£¬£¬¡°½çÏߵĽçÏß¡±ÍØÆË̬¿ÉÄÜͬʱÉæ¼°µ½ÏµÍ³Ìå̬¼°µÍά½çÏß̬µÄÍØÆËÐÔ×Ó£¬£¬¾ßÓиü¸»ºñµÄÌå±ß¶ÔÓ¦¹Øϵ¼°ÍØÆË·ÖÀà¡£µ«ÏÖÔÚ£¬£¬¶Ô¸ß½×ÍØÆËÏàµÄÍØÆËÃè»æ´ó¶¼ÒÀÀµÓÚÏêϸģ×ӵĿռä¶Ô³ÆÐÔ£¬£¬ÈÔȱ·¦Ò»¸ö¿ÉÖ±½Óͨ¹ýʵÑé̽²âµÄÆÕÊÊÐÔÍØÆËÃè»æÀíÂÛ¡£
¿ËÈÕ£¬£¬ngµç×ÓÓÎÏ·ÎïÀíÓëÌìÎÄѧԺÁ¿×Ó¹¤³ÌÓëϸÃÜÕÉÁ¿ÍŶÓÀîÁÖ»¢¸±½ÌÊÚÓëмÓƹúÁ¢´óѧµÄ¹¨½±õ½ÌÊÚ¼°Öìΰΰ²©Ê¿ÏàÖú£¬£¬Õë¶Ô¸´¶Ô³ÆÀà¸ß½×ÍØÆËÏ࣬£¬Ìá³öÁËÒ»Ì×»ùÓÚ¶¯Á¦Ñ§µÄǶÌ×ÍØÆËÃè»æÀíÂÛ¡£¸ÃÀíÂÛ»ùÓÚϵͳ¶¯Á¿¿Õ¼ä¹þÃܶÙÁ¿½ç˵ÁËһϵÁÐÏ໥ǶÌ׵ġ°ÄÜ´ø·´×ªÃ桱£¨band inversion surfaces£©£¬£¬ÏµÍ³ÕûÌåµÄ¸ß½×ÍØÆËÐÔ×ÓÓÉÕâЩÄÜ´ø·´×ªÃæ»®·Ö¶ÔÓ¦µÄÍØÆËÎȹÌÁ¿¼°Ï໥ǶÌ×¹Øϵ¾öÒ飨¼ûͼ1£©¡£ÌرðµÄ£¬£¬Í¨¹ýÕâÖÖ·½Ê½½ç˵µÄÍØÆËÎȹÌÁ¿£¬£¬¿ÉÖ±½ÓÓÉϵͳØÍ×ÔÐýÎÆÀíµÄ¾íÈÆÐÔ×Ó¸ø³ö£¬£¬²¢¿Éͨ¹ýÁ¿×Ó´ã»ð¶¯Á¦Ñ§ÖÐϵͳµÄ³¤Ê±¼äÑÝ»¯¾ÙÐÐÕÉÁ¿¡£Í¬Ê±£¬£¬ÕâÌ׸߽×ÍØÆËÃè»æ·½°¸²»ÒÀÀµÓÚϵͳµÄ¿Õ¼ä¶Ô³ÆÐÔ£¬£¬ÊÊÓÃÓÚÖª×ã¿ËÀû¸£µÂ´úÊý£¨Clifford algebra£©µÄí§Òâ¸ß½×ÍØÆËÏà¡£ÕâÏîÊÂÇ齫²»ÊÜ¿Õ¼ä¶Ô³ÆÐÔ±£»¤µÄ¸ß½×ÍØÆËÏàÕâÒ»¿´·¨£¬£¬ÍØÕ¹µ½ÁËí§Òâά¶Èí§ÒâÍØÆ˽×ÊýµÄÒ»ÕûÀà¸ß½×ÍØÆËÏ࣬£¬²¢Ìá³öÁËÒ»Ì×ÆÕÊʵÄÍØÆËÃè»æÀíÂÛ£¬£¬¼«´óµØ¼ÓÉîÁ˶Ը߽×ÍØÆËÏàµÄÊìϤ¡£±ðµÄ£¬£¬¸ÃÊÂÇéËùÌá³öµÄÍØÆËÃè»æ·½°¸Òà¿ÉÒÔÔÚ³¬ÀäÔ×Ó¼°¹Ì̬Á¿×Ó±ÈÌصȶàÖÖÁ¿×ÓÄ£Äâƽ̨ÖÐͨ¹ý¶¯Á¦Ñ§ÐÔ×ÓÀ´ÕÉÁ¿£¬£¬ÎªÊµÑéÉÏÑо¿¸ß½×ÍØÆËÏàÌṩÁ˱㵱¡£
ͼ1:µ±ÏµÍ³µÄÄÜ´ø·´×ªÃ水˳ÐòǶÌ×ʱ£¨a£¬£¬b£©£¬£¬ÏµÍ³Öб£´æÀàÊÖÕ÷¸ß½×ÍØÆ˽çÏß̬£¨d£¬£¬e£©£¬£¬ÆäÊýÄ¿Óɲî±ðÄÜ´ø·´×ªÃæÉÏØÍ×ÔÐý¾íÈÆÊýÈ·¶¨¡£µ±ÄÜ´ø·´×ªÃæ²»°´Ë³ÐòǶÌ×ʱ£¨c£©£¬£¬ÏµÍ³²»±£´æ¸ß½×ÍØÆ˽çÏß̬£¨f£©¡£
¸ÃЧ¹ûÒÔ¡°Direct dynamical characterization of higher-order topological phases with nested band inversion surfaces¡±ÎªÌâÔÚÏß½ÒÏþÔÚÖпÆÔºÒ»ÇøÆÚ¿¯Science BulletinÉÏ£¬£¬ÀîÁÖ»¢¸±½ÌÊÚΪµÚÒ»×÷Õߣ¬£¬Ð¼ÓƹúÁ¢´óѧ¹¨½±õ½ÌÊÚΪͨѶ×÷Õß¡£¸ÃÑо¿»ñµÃÁ˹㶫ʡÁ¿×ÓϸÃÜÕÉÁ¿Óë´«¸ÐÖصãʵÑéÊҵĴóÁ¦Ö§³Ö¡£
ÂÛÎÄÁ´½Ó£ºhttps://doi.org/10.1016/j.scib.2021.04.006
µØµã:¹ãÖÝÊÐиÛÎ÷·135ºÅ Óʱà:510275
µç»°: 020-84112828
ngµç×ÓÓÎÏ·°æȨËùÓÐ COPYRIGHT?1999-2022 , SUN YAT-SEN UNIVERSITY