{"id":31580,"date":"2018-09-04T00:29:22","date_gmt":"2018-09-03T16:29:22","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=31580"},"modified":"2018-09-03T19:31:53","modified_gmt":"2018-09-03T11:31:53","slug":"v52-%e9%87%8f%e5%ad%90%e9%9c%8d%e7%88%be%e6%85%8b%e4%b9%8b%e8%ac%8e%ef%bc%88%e4%b8%8a%ef%bc%89","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=31580","title":{"rendered":"\u00a0v=5\/2 \u91cf\u5b50\u970d\u723e\u614b\u4e4b\u8b0e\uff08\u4e0a\uff09"},"content":{"rendered":"<p><span style=\"color: #333399;\"><strong>\u25a0v=5\/2\u5230\u5e95\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b\uff1f\u9019\u662f\u7814\u7a76\u970d\u723e\u6548\u61c9\u7684\u5b78\u8005\u5011\u8fd1\u5e74\u4f86\u6700\u95dc\u5207\u7684\u554f\u984c\u4e4b\u4e00\u3002<\/strong><\/span><\/p>\n<p><strong>\u64b0\u6587\uff5c\u856d\u7dad\u7ff0<\/strong><\/p>\n<p>\u7b46\u8005\u66fe\u7528\u4e86<a href=\"http:\/\/case.ntu.edu.tw\/blog\/?s=%E9%9C%8D%E7%88%BE%E6%95%88%E6%87%89\" target=\"_blank\" rel=\"noopener noreferrer\">\u4e09\u56db\u7bc7\u6587\u7ae0<\/a>\u4f86\u8a0e\u8ad6\u970d\u723e\u6548\u61c9\u3002\u5f9e\u7d93\u5178\u7684\u6574\u6578\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff08IQHE\uff09\u3001\u5206\u6578\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff08FQHE\uff09\u3001\u8907\u5408\u8cbb\u7c73\u5b50\uff08Composite Fermion\uff09\u5230\u6700\u8fd1\u91cd\u65b0\u6380\u8d77\u8a0e\u8ad6\u7684 v=1\/2\u8cbb\u7c73\u6db2\u9ad4\u614b\uff08Fermi Liquid\uff09\u3002\u5728\u672c\u6587\u4e2d\u7b46\u8005\u60f3\u5ef6\u4f38\u9019\u4e9b\u6545\u4e8b\uff0c\u8a0e\u8ad6\u53e6\u4e00\u500b\u5be6\u9a57\u4e0a\u88ab\u89c0\u6e2c\u5230\u7684\u8457\u540d\u7684\u5076\u6578\u5206\u6bcd\u7684\u91cf\u5b50\u970d\u723e\u614b\u2014\u2014 v=5\/2\uff0c\u4ee5\u53ca\u5b83\u6240\u727d\u6d89\u7684\u8b0e\u5718\u3002<\/p>\n<p>\u7136\u800c\u7b46\u8005\u5fc5\u9808\u5148\u5728\u6b64\u81ea\u767d\uff1a\u91cf\u5b50\u970d\u723e\u6548\u61c9\u4e26\u4e0d\u7b97\u662f\u6700\u597d\u7684\u79d1\u666e\u984c\u6750\u3002\u5118\u7ba1\u9019\u500b\u554f\u984c\u7684\u7d44\u6210\u5143\u7d20\u5f88\u57fa\u672c\uff1a\u96fb\u5b50\u3001\u5eab\u502b\u4f5c\u7528\u8207\u5782\u76f4\u7684\u78c1\u5834\u3002\u4f46\u771f\u7684\u8981\u9032\u884c\u5b9a\u91cf\u8aaa\u660e\u7684\u6642\u5019\uff0c\u6211\u5011\u5f88\u96e3\u907f\u514d\u8a0e\u8ad6\u4e00\u4e9b\u6bd4\u8f03\u751f\u786c\u7684\u6982\u5ff5\uff0c\u6bd4\u5982\u8aaa\u78c1\u901a\u91cf\u9644\u8457\uff08flux attachment\uff09\u8207\u6e2c\u8a66\u6ce2\u51fd\u6578\uff08trial wavefunction\uff09\u3002\u800c\u4e14\u4e8b\u5be6\u4e0a\u9664\u4e86\u4e00\u4e9b\u62d3\u6a38\u6027\u8cea\uff0c\u8b6c\u5982\u96fb\u5c0e\u7387\u7684\u4fc2\u6578 v\uff0c\u5373\u4fbf\u6700\u524d\u6cbf\u7684\u8a08\u7b97\u4e5f\u5f88\u96e3\u7d66\u51fa\u5f88\u597d\u7684\u89e3\u6790\u7d50\u679c\u3002\u7d55\u5927\u591a\u6578\u6211\u5011\u5fc5\u9808\u501a\u8cf4\u6578\u503c\u8a08\u7b97\uff0c\u5f9e\u800c\u5931\u53bb\u4e00\u4e9b\u76f4\u89ba\u3002<\/p>\n<p>\u5f9e\u5be6\u9a57\u7684\u89d2\u5ea6\uff0c\u5f9e\u4e8b\u91cf\u5b50\u6548\u61c9\u6e2c\u91cf\u7684\u5718\u968a\u5728\u4e16\u754c\u4e0a\u4e5f\u975e\u5927\u5b97\u3002<\/p>\n<p>\u7136\u800c\uff0c\u5f9e\u7406\u8ad6\u7269\u7406\u5b78\u6b77\u53f2\u7684\u89d2\u5ea6\u770b\uff0c\u91cf\u5b50\u970d\u723e\u6548\u61c9\u537b\u8207\u5f88\u591a\u9ede\u5b50\u7684\u8a95\u751f\u8207\u767c\u5c55\u5bc6\u5207\u76f8\u95dc\uff0c\u5305\u62ec\u62d3\u6a38\u8d85\u5c0e\u9ad4\u3001\u9673-\u897f\u8499\u65af\uff08Chern-Simons\uff09\u7406\u8ad6\u3001\u99ac\u7d04\u62c9\u7d0d\u8cbb\u7c73\u5b50\uff08Majorana fermion\uff09\u3001\u5c0d\u5076\uff08Duality\uff09\u7b49\u3002\u4e5f\u56e0\u6b64\uff0c\u7576\u4ee3\u7684\u7406\u8ad6\u7269\u7406\u5b78\u5bb6\u5011\u5118\u7ba1\u672a\u5fc5\u662f\u970d\u723e\u6548\u61c9\u7684\u5c08\u5bb6\uff0c\u4f46\u6216\u591a\u6216\u5c11\u90fd\u6703\u5c0d\u5b83\u7684\u7279\u5fb5\u6709\u4e9b\u57fa\u672c\u7684\u8a8d\u8b58\u3002<\/p>\n<figure id=\"attachment_31585\" aria-describedby=\"caption-attachment-31585\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-31585\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/Pfaffian1-fig1.png\" alt=\"\" width=\"650\" height=\"287\" data-wp-pid=\"31585\"><figcaption id=\"caption-attachment-31585\" class=\"wp-caption-text\">Figure1. \u78c1\u901a\u91cf\u9644\u8457\u7684\u793a\u610f\u5716\u3002\u5de6\u5716\u756b\u7684\u662f\u7269\u7406\u96fb\u5b50\u5728\u78c1\u5834\u4e2d\u7684\u72c0\u6cc1\uff0c\u53f3\u5074\u662f\u5c0d\u61c9\u7684\u8907\u5408\u8cbb\u7c73\u5b50\u72c0\u614b\u3002\u6211\u5011\u4ee5\u6c34\u85cd\u8272\u5c0f\u7403\u4ee3\u8868\u96fb\u5b50\u3001\u7d05\u8272\u7bad\u982d\u4ee3\u8868\u78c1\u901a\u91cf\u3002\u6211\u5011\u5c07\u5169\u500b\u78c1\u901a\u91cf\u8ddf\u96fb\u5b50\u7d81\u5728\u4e00\u8d77\uff0c\u5f62\u6210\u4e00\u500b\u7d2b\u8272\u7684\u8907\u5408\u8cbb\u7c73\u5b50\u3002\u800c\u6b64\u5716\u986f\u793a\u7684\u72c0\u6cc1\u5c31\u662f\u7576\u96fb\u5b50\u6578\u53ea\u6709\u78c1\u901a\u91cf\u6578\u7684\u4e00\u534a\u6642\uff0c\u5e73\u5747\u800c\u8a00\u8907\u5408\u8cbb\u7c73\u5b50\u770b\u4e0d\u898b\u6de8\u78c1\u5834\u3002\uff08photo credit: \u4f5c\u8005\u81ea\u7e6a\uff09<\/figcaption><\/figure>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u91cf\u5b50\u970d\u723e\u6548\u61c9<\/strong><\/span><\/p>\n<p>\u73fe\u5728\u8b93\u6211\u5011\u5148\u7528 30 \u79d2\u8907\u7fd2\u91cf\u5b50\u970d\u723e\u6548\u61c9\u7684\u57fa\u672c\u7269\u7406\u3002<\/p>\n<p>\u9996\u5148\u5ffd\u7565\u96fb\u5b50\u4e4b\u9593\u7684\u4ea4\u4e92\u4f5c\u7528\uff0c\u90a3\u9ebc\u96fb\u5b50\u80fd\u968e\u5728\u78c1\u5834\u4e2d\u6703\u5f62\u6210\u862d\u9053\u968e\uff08Landau Levels\uff09\u3002\u6bcf\u500b\u862d\u9053\u968e\u5c31\u50cf\u4e00\u5c64\u516c\u5bd3\uff0c\u6709\u5f88\u591a\u5177\u6709\u4e00\u6a23\u80fd\u91cf\uff08\u623f\u79df\uff09\u7684\u8ecc\u57df\uff08\u623f\u9593\uff09\u3002\u7576\u96fb\u5b50\u6070\u597d\u586b\u6eff\u67d0\u500b\u6578\u76ee\u7684\u862d\u9053\u968e\uff0c\u60f3\u8981\u5230\u9054\u4e0b\u4e00\u5c64\u6a13\u5c31\u5fc5\u9808\u652f\u4ed8\u80fd\u91cf\uff08\u52a0\u9322\uff09\u3002\u56e0\u800c\u6574\u500b\u7cfb\u7d71\u5167\u90e8\u5f62\u6210\u4e00\u500b\u7d55\u7de3\u9ad4\u3002\u7576\u5728 <em>x<\/em> \u65b9\u5411\u65bd\u52a0\u96fb\u5834 E<sub>x<\/sub> \uff0c\u6211\u5011\u5176\u5be6\u6c92\u8fa6\u6cd5\u6fc0\u767c\u51fa <em>x<\/em> \u65b9\u5411\u7684\u96fb\u6d41\uff0c\u4f46\u5728\u7cfb\u7d71\u7684\u908a\u754c\u7d2f\u7a4d\u7684\u96fb\u8377\u53ef\u4ee5\u5c0e\u81f4 <em>y<\/em> \u65b9\u5411\u7684\u96fb\u6d41 J<sub>y<\/sub>\uff0c\u5beb\u6210\u6b50\u59c6\u5b9a\u5f8b\u7684\u5f62\u5f0f\uff1a<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-31581\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/01.png\" alt=\"\" width=\"120\" height=\"39\" data-wp-pid=\"31581\"><\/p>\n<p>\u800c\u9019\u908a\u7684\u970d\u723e\u96fb\u5c0e\u662f\u6574\u500b\u970d\u723e\u6548\u61c9\u88e1\u6700\u91cd\u8981\u7684\u7269\u7406\u91cf\uff0c\u5b83\u7b26\u5408\u91cf\u5b50\u5316\u7684\u689d\u4ef6<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-31582\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/02.png\" alt=\"\" width=\"120\" height=\"58\" data-wp-pid=\"31582\"><\/p>\n<p>\u5176\u4e2dv\u4ee3\u8868\u4e86\u88ab\u586b\u6eff\u7684\u862d\u9053\u968e\u6578\u76ee\u3002<\/p>\n<p>\u800c\u5f8c\u4eba\u5011\u5728\u5be6\u9a57\u4e2d\u767c\u73fev \u5176\u5be6\u4e5f\u53ef\u4ee5\u662f\u500b\u5206\u6578\uff0c\u800c\u524d\u9762\u7684\u8ad6\u8ff0\u7121\u6cd5\u8aaa\u660e\u5206\u6578\u7684\u91cf\u5b50\u970d\u723e\u614b\u3002R. Laughlin \u9996\u5148\u63d0\u51fa\u4e86\u4e00\u500b\u6e2c\u8a66\u7684\u6ce2\u51fd\u6578\uff0c\u5f88\u597d\u5730\u63cf\u8ff0\u4e86v=1\/3\u7684\u6027\u8cea\u3002\u5728\u7269\u7406\u5716\u50cf\u7684\u7406\u89e3\u4e0a\uff0cJ. K. Jain [2] \u63d0\u51fa\u4e86\u8907\u5408\u8cbb\u7c73\u5b50\u7684\u6982\u5ff5\uff0c\u5c07\u4e00\u500b\u96fb\u5b50\u89e3\u91cb\u6210\u4e00\u500b\u8907\u5408\u8cbb\u7c73\u5b50\u52a0\u4e0a\u5169\u500b\u55ae\u5143\u78c1\u901a\u91cf\uff0c\u800c\u5206\u6578\u7684\u91cf\u5b50\u970d\u723e\u6548\u61c9\u4fbf\u80fd\u5920\u7406\u89e3\u6210\u8907\u5408\u8cbb\u7c73\u5b50\u7684\u6574\u6578\u970d\u723e\u6548\u61c9\u3002<\/p>\n<p>\u82e5\u8907\u5408\u8cbb\u7c73\u5b50\u8655\u65bc\u6574\u6578\u970d\u723e\u614bn\uff0c \u800c\u96fb\u5b50\u8655\u65bc\u5206\u6578\u970d\u723e\u614bv\uff0c\u4ed6\u5011\u7684\u95dc\u4fc2\u53ef\u7531\u6240\u8b02\u7684 Jain \u5e8f\u5217\u7d66\u51fa\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-31583\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/03.png\" alt=\"\" width=\"150\" height=\"37\" data-wp-pid=\"31583\"><\/p>\n<p>\u5176\u4e2d\u5728n\u2192\u221e \u7684\u6975\u9650\uff0cv\u8da8\u5411 1\/2\u3002\u5728\u9019\u500b\u6975\u9650\u8907\u5408\u8cbb\u7c73\u5b50\u611f\u53d7\u4e0d\u5230\u4efb\u4f55\u78c1\u5834\uff0c\u800c\u76f4\u89ba\u4e0a\u9019\u6703\u5f62\u6210\u4e00\u500b\u8cbb\u7c73\u6d77\uff08 Fermi Sea\uff09\u8207\u91d1\u5c6c\u614b\u3002\u5f9e\u591a\u9ad4\u7269\u7406\u7684\u89d2\u5ea6\u800c\u8a00\uff0c\u9019\u500b\u8cbb\u7c73\u6d77\u662f\u6c92\u6709\u80fd\u9699\u7684\uff0c\u4e5f\u5c31\u662f\u8aaa\u7121\u7aae\u5c0f\u7684\u80fd\u91cf\u4fbf\u80fd\u6fc0\u767c\u9019\u500b\u7cfb\u7d71\uff0c\u800c\u9019\u4e5f\u88ab\u5be6\u9a57\u6240\u8b49\u5be6\u3002<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cfv=5\/2 \u614b<\/strong><\/span><\/p>\n<p>\u5960\u57fa\u5728\u9019\u4e9b\u80cc\u666f\u77e5\u8b58\uff0c\u5728\u63a5\u4e0b\u4f86\u7684\u7bc7\u5e45\uff0c\u6211\u5011\u5c31\u89e3\u91cbv=5\/2 \u7684\u795e\u79d8\u4e4b\u8655\uff0c\u4e26\u4e14\u5728\u7e8c\u4f5c\u4e2d\u5617\u8a66\u92ea\u9673\u8207\u5176\u76f8\u95dc\u7684\u8b0e\u5718\u3002<\/p>\n<p>\u9996\u5148\u6211\u5011\u5e0c\u671b\u900f\u904e\u5c0f\u5b78\u52a0\u6cd5\u5148\u5efa\u7acb\u4e00\u9ede\u76f4\u89ba\uff1a<\/p>\n<p style=\"text-align: center;\">5\/2=1*2+1\/2<\/p>\n<p>\u9019\u500b\u89e3\u6790\u7684\u610f\u601d\u662f\uff0cv=5\/2\u7684\u91cf\u5b50\u614b\u662f\u5169\u500b\u6eff\u7684\u862d\u9053\u968e\u8207\u4e00\u500b\u534a\u586b\u6eff\u7684\u862d\u9053\u968e\u3002\u7531\u65bc\u586b\u6eff\u7684\u862d\u9053\u968e\u548c\u534a\u6eff\u7684\u862d\u9053\u968e\u4e4b\u9593\u6709\u80fd\u9699\uff0c\u9019\u500b\u80fd\u9699\u7684\u5927\u5c0f\u6b63\u6bd4\u65bc\u78c1\u5834\uff0c\u5f9e\u800c\u5728\u78c1\u5834\u5f88\u5927\u7684\u72c0\u6cc1\u4e0b\uff0c\u4f4e\u80fd\u91cf\u7684\u7269\u7406\u61c9\u8a72\u53ea\u8ddf\u534a\u6eff\u7684\u862d\u9053\u968e\u6709\u95dc\u4fc2\u3002\u6cbf\u7528\u524d\u4e00\u6bb5\u7684\u8ad6\u8ff0\uff0c\u6211\u5011\u7684\u76f4\u89ba\u662f\u9019\u500b\u91cf\u5b50\u614b\u61c9\u8a72\u4e5f\u8981\u662f\u500b\u91d1\u5c6c\u614b\u3002<\/p>\n<p>\u7136\u800c\u6709\u8da3\u7684\u4e8b\u5be6\u662f\uff0c\u5be6\u9a57\u4e0a\u6240\u898b\u7684v=5\/2\u8207 v=12 \u4e0d\u540c\u3002\u524d\u8005\u5177\u6709\u970d\u723e\u5e73\u81fa\uff0c\u4e26\u4e14\u662f\u500b\u6709\u80fd\u9699\u7684\u91cf\u5b50\u614b\u3002<\/p>\n<p>\u6240\u5e78\uff0c\u9019\u4e0d\u662f\u7269\u7406\u5b78\u5bb6\u5011\u7b2c\u4e00\u6b21\u9047\u4e0a\u4e00\u500b\u7121\u78c1\u5834\u7684\u8cbb\u7c73\u6d77\u5f62\u6210\u6709\u80fd\u9699\u7684\u91cf\u5b50\u614b\u3002\u8d85\u5c0e\u9ad4\u57fa\u672c\u4e0a\u5c31\u7b26\u5408\u9019\u6a23\u7684\u7279\u5fb5\u3002\u7230\u6b64\uff0c\u76ee\u524d v=5\/2 \u88ab\u5ee3\u6cdb\u63a5\u53d7\u7684\u7406\u89e3\u662f\uff0c\u8907\u5408\u8cbb\u7c73\u5b50\u5011\u5f62\u6210\u53e4\u67cf\u5c0d\uff08Cooper pair\uff09\u800c\u51dd\u805a\u6210\u4e00\u500b\u8d85\u5c0e\u9ad4\u614b\u3002\u4f46\u9019\u500b\u53e4\u67cf\u5c0d\u4e0d\u53ef\u4ee5\u662f\u6700\u7c21\u55ae\u7248\u672c\u7684 BCS \u6a21\u578b\u3002\u56e0\u70ba\u5728\u5f37\u78c1\u5834\u4e2d\u96fb\u5b50\u5011\u7684\u81ea\u65cb\u65b9\u5411\u88ab\u6975\u5316\uff0c\u5118\u7ba1\u8907\u5408\u8cbb\u7c73\u5b50\u770b\u4e0d\u898b\u78c1\u5834\uff0c\u4f46\u56e0\u70ba\u5b83\u5011\u8ddf\u96fb\u5b50\u5011\u5177\u6709\u4e00\u5c0d\u4e00\u7684\u5c0d\u61c9\uff0c\u4e5f\u5c31\u6c92\u8fa6\u6cd5\u5f62\u6210\u81ea\u65cb\u5411\u4e0a\u642d\u914d\u81ea\u65cb\u5411\u4e0b\u7684 s \u914d\u5c0d\u3002\u7531\u65bc\u5e96\u7acb\u4e0d\u76f8\u5bb9\u539f\u7406\uff0c\u53ea\u80fd\u662f\u5177\u6709\u5947\u6578\u89d2\u52d5\u91cf\u7684 <em>p<\/em>, <em>f<\/em>, ... \u914d\u5c0d\u3002<\/p>\n<p>\u9019\u500b\u89e3\u91cb\u63d0\u4f9b\u4e86\u7269\u7406\u5716\u50cf\uff0c\u4f46\u771f\u8981\u9032\u884c\u8a08\u7b97\u6642\uff0c\u6211\u5011\u60f3\u8981\u77e5\u9053\u9019\u500b\u7cfb\u7d71\u57fa\u614b\u771f\u6b63\u7684\u9577\u76f8\u3002\u9000\u6578\u6b65\u8a00\uff0c\u6211\u5011\u60f3\u77e5\u9053\u6709\u6c92\u6709\u4e00\u500b\u50cf Laughlin \u6ce2\u51fd\u6578\u4e00\u6a23\u7684\u6e2c\u8a66\u6ce2\u51fd\u6578\uff0c\u65e2\u53ef\u4ee5\u5beb\u51fa\uff08\u4e0d\u7b97\u592a\u8907\u96dc\u7684\uff09\u89e3\u6790\u5f62\u5f0f\u3001\u5177\u6709\u6b63\u78ba\u7684\u62d3\u6a38\u6027\u8cea\uff08\u91cf\u5b50\u6578\uff09\u4e26\u4e14\u5728\u6578\u503c\u4e0a\u5341\u5206\u9760\u8fd1\u771f\u6b63\u7684\u57fa\u614b\uff1f<\/p>\n<p>\u7c21\u55ae\u7684\u7b54\u6848\u662f\uff0c\u9084\u771f\u7684\u6709\uff0c\u800c\u4e14\u6709\u592a\u591a\u4e86\u3002\u5728\u4e0b\u96c6\u4e2d\uff0c\u6211\u5011\u5c07\u4ecb\u7d39\u4e00\u4e9b\u6709\u529b\u7684\u5019\u9078\u4eba\u3001\u4ed6\u5011\u6240\u5177\u5099\u7684\u7279\u5fb5\uff0c\u4e26\u4e14\u6307\u51fa\u8fd1\u4f86\u7684\u5be6\u9a57\u65b0\u767c\u73fe\u5982\u4f55\u5c0d\u5f71\u97ff\u7269\u7406\u5b78\u5bb6\u5011\u5c0d\u5b83\u5011\u7684\u614b\u5ea6\u8207\u9ede\u5b50\u3002<\/p>\n<figure id=\"attachment_31586\" aria-describedby=\"caption-attachment-31586\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-31586\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/Pfaffian1-fig2.png\" alt=\"\" width=\"650\" height=\"379\" data-wp-pid=\"31586\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/Pfaffian1-fig2.png 953w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/Pfaffian1-fig2-800x466.png 800w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><figcaption id=\"caption-attachment-31586\" class=\"wp-caption-text\">Figure2. \u4e0d\u540c\u81ea\u65cb\u614b\u7684\u96fb\u5b50\u53ef\u4ee5\u5f62\u6210\u7684\u53e4\u67cf\u5c0d\u5fc5\u9808\u5e36\u6709\u4e0d\u540c\u7684\u89d2\u52d5\u91cf\u3002\u5de6\u5716\u662f\u6700\u7c21\u55ae BCS \u7406\u8ad6\u7684 s \u6ce2\u914d\u5c0d\uff0c\u53f3\u5716\u662f\u5728 5\/2 \u4e2d\u6709\u53ef\u80fd\u7684 p \u6ce2\u914d\u5c0d\u3002\uff08photo credit: \u4f5c\u8005\u81ea\u7e6a\uff09<\/figcaption><\/figure>\n<p><strong>\u53c3\u8003\u8cc7\u6599\uff1a<\/strong><br \/>\n[1] R. B. Laughlin, Phys. Rev. Lett. <strong>50<\/strong>, 1395 (1983).<br \/>\n[2] J. K. Jain, Phys. Rev. Lett. <strong>63<\/strong>, 199 (1989).<\/p>\n<p><strong>--<br \/>\n\u4f5c\u8005\uff1a\u856d\u7dad\u7ff0\uff0c\u81fa\u5927\u7269\u7406\u7cfb\u7562\u696d\u5f8c\u9003\u5230\u829d\u52a0\u54e5\uff0c\u5439\u98a8\u5439\u96ea\u4e4b\u9918\uff0c\u505a\u7814\u7a76\u8b80\u535a\u58eb\u73ed\u3002\u53ef\u60dc\u96e2\u958b\u81fa\u7063\u5f8c\u7121\u6d77\u53ef\u770b\uff0c\u53ea\u80fd\u5728\u5bc6\u897f\u6839\u6e56\u65c1\u63c0\u4e00\u65b9\u5824\u5cb8\uff0c\u507d\u88dd\u6210\u770b\u6d77\u7684\u4eba\u3002\u79d1\u6559\u4e2d\u5fc3\u7279\u7d04\u5beb\u624b\uff0c\u5f9e\u4e8b\u79d1\u666e\u6587\u7ae0\u5beb\u4f5c\u3002<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/line.me\/R\/ti\/p\/%40fcx6182w\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/scdn.line-apps.com\/n\/line_add_friends\/btn\/zh-Hant.png\" alt=\"\u52a0\u5165\u597d\u53cb\" width=\"212\" height=\"36\" border=\"0\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u25a0v=5\/2\u5230\u5e95\u767c\u751f\u4e86\u4ec0\u9ebc\u4e8b\uff1f\u9019\u662f\u7814\u7a76\u970d\u723e\u6548\u61c9\u7684\u5b78\u8005\u5011\u8fd1\u5e74\u4f86\u6700\u95dc\u5207\u7684\u554f\u984c\u4e4b\u4e00\u3002<br \/>\n\u7b46\u8005\u66fe\u7528\u4e86\u4e09\u56db\u7bc7\u6587\u7ae0\u4f86\u8a0e\u8ad6\u970d\u723e\u6548\u61c9\u3002\u5f9e\u7d93\u5178\u7684\u6574\u6578\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff08IQHE\uff09\u3001\u5206\u6578\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff08FQHE\uff09\u3001\u8907\u5408\u8cbb\u7c73\u5b50\uff08Composite Fermion\uff09\u5230\u6700\u8fd1\u91cd\u65b0\u6380\u8d77\u8a0e\u8ad6\u7684 v=1\/2\u8cbb\u7c73\u6db2\u9ad4\u614b\uff08Fermi Liquid\uff09\u3002\u5728\u672c\u6587\u4e2d\u7b46\u8005\u60f3\u5ef6\u4f38\u9019\u4e9b\u6545\u4e8b\uff0c\u8a0e\u8ad6\u53e6\u4e00\u500b\u5be6\u9a57\u4e0a\u88ab\u89c0\u6e2c\u5230\u7684\u8457\u540d\u7684\u5076\u6578\u5206\u6bcd\u7684\u91cf\u5b50\u970d\u723e\u614b\u2014\u2014 v=5\/2\uff0c\u4ee5\u53ca\u5b83\u6240\u727d\u6d89\u7684\u8b0e\u5718\u3002<\/p>\n","protected":false},"author":20,"featured_media":31587,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,39],"tags":[3943,3942,2653],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/Pfaffian1-fig1-1.png","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31580"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=31580"}],"version-history":[{"count":6,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31580\/revisions"}],"predecessor-version":[{"id":31618,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31580\/revisions\/31618"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/31587"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=31580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=31580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=31580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}