ngµç×ÓÓÎÏ·

03
Ê×Ò³ / ½Ìѧ¿ÆÑÐ / ÕýÎÄ

Ò¦µÀнÌÊÚÍŶÓÓëÏàÖúÕßÔÚÁ¿×ÓÏà±äÑо¿·½ÃæÈ¡µÃÖ÷ҪϣÍû

¸å¼þȪԴ£º£º£ºÎïÀíѧԺ ±à¼­£º£º£ºÌ¸Ï£¡¢¡¢¡¢Â¬ì½Î¬ ÉóºË£º£º£ºËïÒ«±ó ÔĶÁÁ¿£º£º£º

ngµç×ÓÓÎÏ·ÐÂÎÅÍøÑ¶£¨Í¨Ñ¶Ô±À×ÊÀݼ£©¿ËÈÕ£¬£¬ngµç×ÓÓÎÏ·ÎïÀíѧԺҦµÀнÌÊÚÍŶÓÔÚÁ¿×ÓÏà±äµÄÎÞÐòËã·û±ê¶ÈÐÐΪÑо¿ÖÐÈ¡µÃÖ÷ҪϣÍû£¬£¬ÔÚ¹ú¼ÊÉÏÊ×ÏÈÌá³öÎÞÐòËã·û¿ÉÒÔÓÃÀ´Ì½²â½çÏß̬ºÍ½çÏßµÄÁÙ½çÐÐΪ£¬£¬²¢ÆÊÎöÁËÆä±ê¶ÈÐÐΪ¡£¡£2024Äê5ÔÂ17ÈÕ£¬£¬¸ÃЧ¹ûÒÔ¡°Measuring the Boundary Gapless State and Criticality via Disorder Operator¡±ÎªÌ⣬£¬ÒÔngµç×ÓÓÎϷΪµÚÒ»µ¥Î»½ÒÏþÔÚ¹ú¼ÊÖøÃûÎïÀí¿¯Îï¡¶ÎïÀí̸Âۿ챨¡· (Physical Review Letters 132, 206502 (2024))£¬£¬²¢»ñµÃ±à¼­ÍƼö(Editor¡¯s suggestion)¡£¡£

Á¿×ÓÏà±äÒ»Ö±ÊÇÄý¾Û̬ÎïÀíÖÐÖ÷ÒªÇÒÓÐȤµÄÖ÷ÌâÖ®Ò»¡£¡£¾§¸ñϵͳµÄ½çÏßÓÉÓÚÆäÅäλÊýµÄ²î±ðÕ¹ÏÖ³ö±ÈÌåÄÚÔ½·¢¸»ºñµÄÏà±äÐÐΪ£¬£¬¼´ÍâòÁÙ½çÐÐΪ¡£¡£ÓÉÓÚ±ßÑØÄ£ÓëÌåµÄÁÙ½çÕÇÂäñîºÏÔÚÒ»Æð£¬£¬½çÏß»áÓÕµ¼³öÐÂÓ±µÄÏà±äÐÐΪ£¬£¬ÎüÒýÁËÖÚ¶àÑо¿Ö°Ô±µÄ¹Ø×¢¡£¡£ÔõÑùÔÚ¶àÌåÅÌËãÖУ¬£¬ÌáÈ¡½çÏßÁÙ½çÐÐΪµÄÐÅÏ¢£¬£¬½øÒ»²½ÑéÖ¤ÍâòÁÙ½çÀíÂ۵Ŀɿ¿ÐÔ£¬£¬ºÃ±È½çÏß¹²Ðγ¡ÂÛ(BCFT)£¬£¬ÊÇÁ¿×Ó¶àÌåÅÌËãÖ÷ÒªµÄÆ«Ïò¡£¡£

ÁíÍâÒ»·½Ã棬£¬½üÄêÀ´·Ç¾ÖÓòËã·ûµÄÑо¿Öð½¥ÐËÆð£¬£¬ËüÃÇ¿ÉÒÔ´Ó¹ãÒåµÄ¶Ô³ÆÐÔºÍdomain wallµÄ½Ç¶ÈÈ¥Ã÷È·ÎïÏàºÍÏà±ä¡£¡£ÎÞÐòËã·û×÷ΪһÖַǾÖÓòµÄÕÉÁ¿Ëã·û£¬£¬Äܹ»Õ¹ÏÖÏàºÍÏà±äµãµÄ¸ß¼Û¶Ô³ÆÐԺ͹²Ðγ¡ÂÛÐÅÏ¢£¬£¬´ÓÈ«¾ÖµÄ½Ç¶ÈÃ÷È·Ïà±äÆÕÊÊÀàµÄÐÅÏ¢¡£¡£ÀýÈ磬£¬ÔÚS=1/2µÄ¶þάÕý·½¾§¸ñJ1-J2Öù×´º£É­±¤Ä£×ÓÖУ¬£¬Äܹ»ÌáÈ¡³öO(3)Ïà±äµãµÄÁ÷ÖÐÐĺÉCJ£¬£¬·´Ó³ÆäÆÕÊÊÀàÐÅÏ¢¡£¡£

Ò¦µÀнÌÊÚÍŶÓÂÊÏÈʹÓÃÎÞÐòËã·û¶Ô¶þά¾ßÓжԳÆÐÔ±£»£»¤ÍØÆËÏà(SPT)µÄAKLTÄ£×ӵĽçÏßÐÔ×Ó¾ÙÐÐÁËÑо¿¡£¡£ÔÚAKLTÏ࣬£¬½çÏßµÄ×ÔÐýÐγÉÓÐÓõĺ£É­±¤Á´¡£¡£ÎÞÐòËã·ûÄܹ»·´Ó³±ßÑØÌ¬µÄÎïÀíÐÔ×Ó£¬£¬ÌáÈ¡º£É­±¤Á´µÄLuttinger²ÎÊý£¬£¬Õ¹ÏÖ(1+1)ά½çÏßSU(2)1µÄÎïÀí¡£¡£µ±ÏµÍ³¿¿½üÏà±äµãʱ£¬£¬ÎÞÄÜ϶µÄ±ßÑØÄ£ÓëÌåµÄÁÙ½çÕÇÂäÖð½¥ñîºÏÔÚÒ»Æð£¬£¬ÎÞÐòËã·û²»µ«Äܹ»·´Ó³±ßÑØÌ¬µÄ(1+1)άµÄSU(2)1ÎïÀí£¬£¬ÌáÈ¡Luttinger²ÎÊý£¬£¬»¹Äܹ»ÌáÈ¡ÌåµÄÁÙ½çÐÐΪO(3)ÁÙ½çÄ£µÄ¹²Ðγ¡ÂÛÐÅÏ¢¡£¡£

ÔÚ´Ë»ù´¡ÉÏ£¬£¬Ò¦µÀнÌÊÚÍŶӶÔÎÞÐòËã·ûµÄ±ê¶ÈÐÐΪÌá³öÒ»¸öÒâÁÏ¡£¡£ÔÚÁÙ½çµã´¦£¬£¬ÎÞÄÜ϶±ßÑØÄ£º£º£ºÍÌåµÄÁÙ½çÄ£»£»áÒÔµþ¼ÓµÄÐÎʽ½øÈëµ½ÎÞÐòËã·ûµÄ±ê¶ÈÐÐΪÖУ¬£¬ÌåÏÖÔÚÆä¶ÔÊýÏîÖУ¬£¬ËüÃÇ×ñ´ÓÒÔϹ«Ê½¡£¡£

132C0677CA576770B5323E6550C_527AD48A_2DCE

ÆäÖеÄKÏîÓÉÎÞÄÜ϶µÄ±ßÑØÌ¬Ìṩ£¬£¬¶øCJÏîÓÉÌåµÄO(3)ÁÙ½çģТ˳¡£¡£ÊýֵЧ¹ûºÜºÃµØÑéÖ¤ÁËÒâÁϵĿɿ¿ÐÔ£¬£¬´ÓÊýÖµ½Ç¶ÈÖ±¹ÛÕ¹ÏÖÁ˱ßÑØÄ£ÓëÌåµÄÁÙ½çÕÇÂäñîºÏµÄÎïÀíͼÏñ¡£¡£

½øÒ»²½£¬£¬Ò¦µÀнÌÊÚÍŶÓʹÓÃÁ¿×ÓÃÉÌØ¿¨ÂåÒªÁìÑо¿Á˶þάAKLTÄ£×ӵľÀ²øÆ×ºÍÄܯ׵ĶÔÓ¦¹ØÏµ¡£¡£ÖøÃûµÄLi-HaldaneÒâÁÏÖ¸³öÔÚÍØÆË̬ÄÚÀï¾À²øÆ×µÄµÍÄܲ¿·ÖºÍ¿ª½çÏßµÄÄܯ׾ßÓÐÖðÒ»¶ÔÓ¦µÄ¹ØÏµ¡£¡£Ñо¿ÍŶӷ¢Ã÷£¬£¬ÔÚAKLTÄ£×Ó½çÏßÊ©¼Ó΢ÈÅ£¬£¬Æä¾À²øÆ×ºÍÄܯײ¢²»×ÜÊǾßÓжÔÓ¦¹ØÏµ£»£»ÔÚijЩÇéÐÎÏ£¬£¬×ÝÈ»½çÏßÄð³ÉÓÐÄÜ϶µÄ£¬£¬Æä¾À²øÆ×ºÍÄÜÆ×Ò²¾ßÓжÔÓ¦¹ØÏµ¡£¡£Ñо¿ÍŶÓʹÓÃеij涴ͼÏñºÜºÃµØÚ¹ÊÍÁËÕâЩÊýֵЧ¹û£¬£¬²¢Õ¹ÏÖÁ˳涴ͼÏñ¿ÉÒÔ³ÉΪÃ÷È·ÖØ´óϵͳ¾À²øÆ×ת±äµÄÇ¿ÓÐÁ¦µÄ¹¤¾ß¡£¡£Ïà¹ØÊÂÇéÒѾ­½ÒÏþÔÚPhysical Review B¿¯ÎïÉÏ(Phys. Rev. B 109, 094416(2024))¡£¡£ ÔÚ´Ë֮ǰ£¬£¬Ò¦µÀнÌÊÚÍŶÓʹÓÃÁ¿×ÓÃÉÌØ¿¨ÂåÒªÁìÑо¿Á˸ÃÄ£×ÓÌåºÍ½çÏßµÄÒý·¢Æ×£¬£¬ÎªÃ÷È·¶Ô³Æ±£»£»¤ÍØÆËÏàºÍ´ÅÓÐÐòµÄÒý·¢ÌṩÁËÖ÷ÒªµÄÊýÖµÒÀ¾Ý(Phys. Rev. B 105, 014418 (2022))¡£¡£²¢ÇÒ£¬£¬Ò¦µÀнÌÊÚÍŶӻ¹¶ÔS>1/2µÄ¶þάËİ˾§¸ñº£É­±¤Ä£×ÓµÄÏàͼºÍÒý·¢Æ×¾ÙÐÐÁËÏ꾡µÄÅÌËãºÍÑо¿(Phys. Rev. B 106, 085101 (2022))¡£¡£

6A92B962682BA6041268350A760_BB2ED2E1_67BC9

S=1/2µÄJ1-J2Ëİ˾§¸ñº£É­±¤Ä£×ÓµÄÏàͼ£¬£¬ÎÞÐòËã·û·´Ó³ÁËÁÙ½çµã´¦±ßÑØÄ£º£º£ºÍÌåµÄÁÙ½çÄ£ñîºÏÔÚÒ»ÆðµÄÎïÀíÐÅÏ¢¡£¡£

ngµç×ÓÓÎÏ·ÎïÀíѧԺ²©Ê¿Ñо¿ÉúÁõÔóéªÎªÂÛÎĵĵÚÒ»×÷Õߣ¬£¬ngµç×ÓÓÎÏ·ÎïÀíѧԺ½ÌÊÚÒ¦µÀС¢¡¢¡¢Î÷ºþ´óѧÑо¿Ô±ÑÏÕýºÍ±±¾©º½¿Õº½Ìì´óѧº¼Öݹú¼ÊÁ¢ÒìÑо¿Ôº¸±½ÌÊÚÍõÑÞ³ÉΪÂÛÎĵÄͨѶ×÷Õߣ¬£¬±ÈÀûʱ¸ùÌØ´óѧ²©Ê¿ºó»ÆÈðÕä¼ÓÈëÁ˱¾Ñо¿µÄÀíÂÛÊÂÇé¡£¡£ngµç×ÓÓÎÏ·µÄÀíÂÛÑо¿ÊÂÇéÒÀÍÐÎïÀíѧԺ¹«¹²¿ÆÑÐÆ½Ì¨ºÍÖÐ×Ó¿ÆÑ§Æ½Ì¨¡¢¡¢¡¢¹ã¶«Ê¡´ÅµçÎïÐÔÆÊÎöÓëÆ÷¼þÖØµãʵÑéÊÒ¡¢¡¢¡¢¹âµçÖÊÁÏÓëÊÖÒÕ¹ú¼ÒÖØµãʵÑéÊÒ¡¢¡¢¡¢¸ßµÈѧÊõÑо¿ÖÐÐÄ£»£»ÅÌËãÊÂÇéÒÀÍÐngµç×ÓÓÎÏ·¹ú¼Ò³¬µÈÅÌËã¹ãÖÝÖÐÐÄ¡£¡£ÉÏÊöÊÂÇé»ñµÃ¹ú¼ÒÖØµãÑз¢ÍýÏë¡¢¡¢¡¢¹ú¼Ò×ÔÈ»¿ÆÑ§»ù½ðµÈµÄ×ÊÖú¡£¡£

ÂÛÎÄÁ´½Ó£º£º£ºhttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.206502

¡¾ÍøÕ¾µØÍ¼¡¿