{"id":31604,"date":"2018-09-19T00:34:11","date_gmt":"2018-09-18T16:34:11","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=31604"},"modified":"2018-09-12T14:42:06","modified_gmt":"2018-09-12T06:42:06","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%8b%ef%bc%89","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=31604","title":{"rendered":"v=5\/2 \u91cf\u5b50\u970d\u723e\u614b\u4e4b\u8b0e\uff08\u4e0b\uff09"},"content":{"rendered":"<p><span style=\"color: #333399;\"><strong>\u25a0\u8ab0\u662f\u63cf\u8ff0 v=5\/2\u57fa\u614b\u7684\u6ce2\u51fd\u6578\uff1fPf, aPf, \u9084\u662f\u5176\u4ed6\u7684\u53ef\u80fd\u6027\uff1f<\/strong><\/span><\/p>\n<p><strong>\u64b0\u6587\uff5c\u856d\u7dad\u7ff0<\/strong><\/p>\n<p>\u5728<a href=\"http:\/\/case.ntu.edu.tw\/blog\/?s=%E9%87%8F%E5%AD%90%E9%9C%8D%E7%88%BE%E6%85%8B%E4%B9%8B%E8%AC%8E\" target=\"_blank\" rel=\"noopener noreferrer\">\u524d\u5169\u7bc7\u6587\u7ae0<\/a>\u4e2d\u6211\u5011\u9996\u5148\u8907\u7fd2\u4e86\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff0c\u6307\u51fav=5\/2\u7684\u7279\u5225\u4e4b\u8655\uff0c\u4e26\u4e14\u5c0d\u65bcv=5\/2 \u7684\u5176\u4e2d\u4e00\u500b\u5f37\u529b\u5019\u9078\u6ce2\u51fd\u6578 \u2014\u2014 Pf&nbsp; \u614b\u9032\u884c\u4e86\u4e00\u4e9b\u5b9a\u6027\u4e0a\u7684\u4ecb\u7d39\u3002\u6211\u5011\u4e5f\u6307\u51fa\uff0cPf \u614b\u6240\u5167\u5efa\u6709\u8da3\u7684\u6578\u5b78\u6027\u8cea\uff0c\u4e5f\u9593\u63a5\u53cd\u994b\u5230\u5be6\u9a57\u7684\u7814\u7a76\uff0c\u5f37\u5316\u4e86\u4eba\u5011\u5c0d\u771f\u5be6\u7cfb\u7d71v=5\/2\u91cf\u5b50\u970d\u723e\u614b\u7684\u8208\u8da3\u3002<\/p>\n<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u5011\u5c07\u8a0e\u8ad6\u73fe\u4eca\u8207 Pf \u5206\u5ead\u6297\u79ae\u7684\u5019\u9078\u4eba\uff08\u5011\uff09\u3002<\/p>\n<p>\u9996\u5148\u8b93\u6211\u5011\u56de\u61b6\uff0c\u5728\u672c\u7cfb\u5217\u7b2c\u4e00\u7bc7\u6587\u7ae0\u4e2d\u7684\u4e00\u500b\u7b49\u5f0f<\/p>\n<p style=\"text-align: center;\">v=5\/2=2+1\/2<\/p>\n<p>\u9019\u500b\u5206\u89e3\u7684\u610f\u601d\u662f\uff0c\u5728\u7406\u8ad6\u7814\u7a76\u4e0a\uff0c\u6211\u5011\u5e38\u5e38\u628a\u9019\u500b\u614b\u5206\u89e3\u6210\u5169\u500b\u5168\u586b\u6eff\u7684\u862d\u9053\u968e\u8207\u4e00\u500b\u534a\u586b\u6eff\u7684\u862d\u9053\u968e\u3002\u5018\u82e5\u862d\u9053\u968e\u4e4b\u9593\u7684\u4ea4\u4e92\u4f5c\u7528\u53ef\u4ee5\u7701\u7565\uff0c\u6211\u5011\u5247\u53ef\u4ee5\u628a\u6240\u6709\u7684\u7269\u7406\u6295\u5c04\u5230\u4e00\u500b\u534a\u586b\u6eff\u7684\u862d\u9053\u968e\uff0c\u9019\u500b\u554f\u984c\u5728\u5f62\u5f0f\u4e0a\u5c31\u6703\u63a5\u8fd1\u5176\u4ed6\u5728\u6700\u4f4e\u862d\u9053\u968e\u7684\u91cf\u5b50\u970d\u723e\u6548\u61c9\u554f\u984c\u3002<\/p>\n<p>\u7d93\u904e\u9019\u6a23\u7684\u7c21\u5316\uff0c\u6211\u5011\u89c0\u5bdf\u5230\uff0c\u5982\u679c\u9019\u500b\u614b\u57fa\u672c\u4e0a\u5c31\u662f\u4e00\u500b v=1\/2\u614b\uff0c\u90a3\u9019\u500b\u554f\u984c\u5177\u6709\u7c92\u5b50-\u96fb\u6d1e\u5c0d\u7a31\uff08particle-hole symmetry\uff09\u3002\u7c92\u5b50-\u96fb\u6d1e\u8f49\u63db\u7b49\u540c\u65bc\u628a\u6240\u6709\u4f54\u6eff\u7684\u8ecc\u57df\u63db\u6210\u7a7a\u8ecc\u57df\uff0c\u4e26\u628a\u7a7a\u8ecc\u57df\u586b\u4e0a\u96fb\u5b50\u3002\u56de\u61b6\u4e00\u4e0bv\u7684\u610f\u7fa9\u5c31\u662f\u88ab\u4f54\u6eff\u7684\u8ecc\u57df\u8207\u7a7a\u8ecc\u57df\u7684\u6bd4\u503c\uff0c\u7c92\u5b50-\u96fb\u6d1e\u4f5c\u7528\u7684\u65b9\u5f0f\u662f\uff1a<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-31605\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/01-1.png\" alt=\"\" width=\"160\" height=\"49\" data-wp-pid=\"31605\"><\/p>\n<p>\u4e5f\u56e0\u6b64v=1\/2\u5728\u9019\u500b\u64cd\u4f5c\u4e0b\u61c9\u8a72\u56de\u5230v=1\/2\u3002<\/p>\n<p>\u7136\u800c\uff0c\u5982\u679c\u6211\u5011\u771f\u7684\u5beb\u4e0b Pf &nbsp;\u6ce2\u51fd\u6578\u7684\u6578\u5b78\u5f62\u5f0f\uff0c\u7136\u5f8c\u5c07\u6240\u6709\u96fb\u5b50\u8ddf\u96fb\u6d1e\u7684\u5ea7\u6a19\u5c0d\u63db\uff0c\u6211\u5011\u4e26\u4e0d\u6703\u5f97\u5230\u539f\u4f86\u7684\u6ce2\u51fd\u6578\uff0c\u9019\u500b\u65b0\u6ce2\u51fd\u6578\u7a31\u4f5c anti-Pfaffian [1, 2]\uff0c\u6216\u7c21\u5beb\u6210 aPf \u3002\u4f46\u7531\u65bc\u5728\u55ae\u4e00\u862d\u9053\u968e\u7684\u6a21\u578b\u662f\u7b26\u5408\u9019\u500b\u5c0d\u7a31\u6027\u7684\uff0c\u4e5f\u5c31\u662f\u8aaa\uff0c\u5f9e\u6aa2\u6e2c\u6700\u4f4e\u80fd\u91cf\u7684\u89d2\u5ea6\uff0c\u6211\u5011\u7121\u6cd5\u5206\u8fa8\u9019\u5169\u500b\u6ce2\u51fd\u6578\u3002<\/p>\n<p>\u5f9e\u89c0\u6e2c\u79d1\u5b78\u7684\u89d2\u5ea6\uff0c\u5728\u6df1\u5165\u8ffd\u7a76\u5169\u8005\u4e4b\u524d\uff0c\u6211\u5011\u61c9\u8a72\u5148\u554f\uff0c\u90a3\u9ebc\u5be6\u969b\u4e0a\u7684\u534a\u5c0e\u9ad4\uff0c\u862d\u9053\u968e\u4e4b\u9593\u7684\u5f71\u97ff\u662f\u5426\u80fd\u7701\u7565\u5462\uff1f\u7b54\u6848\u662f\u5426\u5b9a\u7684\u3002\u5c24\u5176\u5728\u8a08\u7b97\u4e2d\u8003\u616e\u5176\u4ed6\u862d\u9053\u968e\u6642\uff0c\u6a21\u578b\u4e2d\u6703\u7522\u751f\u4e00\u4e9b\u4e09\u9ad4\u4ea4\u4e92\u4f5c\u7528\u7684\u9805\uff0c\u9019\u500b\u9805\u76f4\u63a5\u7834\u58de\u4e86\u7c92\u5b50-\u96fb\u6d1e\u7684\u5c0d\u7a31\uff0c\u4e5f\u56e0\u6b64\u5728\u771f\u5be6\u4e16\u754c\u4e2d\uff0c\u5176\u4e2d\u4e00\u500b\u6ce2\u51fd\u6578\u6703\u6709\u8f03\u4f4e\u7684\u80fd\u91cf\u3002<\/p>\n<p>\u8b93\u6211\u5011\u68b3\u7406\u4e00\u4e0b\u81f3\u4eca\u7684\u908f\u8f2f\u3002\u5728\u8003\u616ev=5\/2\u7684\u554f\u984c\u6642\uff0c\u56e0\u70ba\u5176\u4ed6\u862d\u9053\u968e\u7684\u6548\u61c9\u592a\u8907\u96dc\uff0c\u6211\u5011\u9996\u5148\u53ea\u5c08\u6ce8\u65bc\u5176\u4e2dv=1\/2\u586b\u6eff\u7684\u90e8\u5206\uff0c\u5617\u8a66\u627e\u51fa\u5b83\u7684\u57fa\u614b\uff0c\u7136\u5f8c\u518d\u91d0\u6e05\u5c07\u5176\u4ed6\u862d\u9053\u968e\u653e\u56de\u4f86\u6642\u9020\u6210\u7684\u4fee\u6b63\u3002\u7136\u800c\uff0c\u5728v=1\/2\u7684\u862d\u9053\u968e\u4e0a\uff0c\u56e0\u70ba\u7c92\u5b50 - \u96fb\u6d1e\u5c0d\u7a31\u6027\uff0c\u82e5 Pfaffian \u6ce2\u51fd\u6578\u5728\u80fd\u91cf\u7684\u89d2\u5ea6\u4e0a\u6709\u6a5f\u6703\u6210\u70ba\u57fa\u614b\uff0c\u90a3\u9ebc\u5728\u540c\u6a23\u7684\u7cbe\u78ba\u5ea6\u4e0b\uff0canti-Pfaffian \u4e5f\u6709\u6a5f\u6703\u3002\u63a5\u8457\uff0c\u8003\u616e\u5176\u4ed6\u862d\u9053\u968e\uff0c\u7576\u4e00\u4e9b\u7834\u58de\u7c92\u5b50-\u96fb\u6d1e\u5c0d\u7a31\u7684\u9805\u9032\u5230\u554f\u984c\u4e2d\uff0c\u9019\u5169\u500b\u72c0\u614b\u7684\u6ce2\u51fd\u6578\u5c07\u5177\u6709\u4e0d\u540c\u7684\u80fd\u91cf\uff0c\u90a3\u554f\u984c\u5c31\u662f\u2014\u2014\u8ab0\u6709\u6bd4\u8f03\u4f4e\u7684\u80fd\u91cf\uff1f<\/p>\n<figure id=\"attachment_31610\" aria-describedby=\"caption-attachment-31610\" style=\"width: 550px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-31610\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/figure1.png\" alt=\"\" width=\"550\" height=\"655\" data-wp-pid=\"31610\"><figcaption id=\"caption-attachment-31610\" class=\"wp-caption-text\">Figure1. \u6211\u5011\u7528\u672c\u5716\u8aaa\u660e 7\/2 \u8ddf 3\/2 \u7684\u7531\u4f86\u3002\u5728\u5716\u4e2d\u6211\u5011\u7528\u85cd\u8272\u5c0f\u7403\u4ee3\u8868\u4e00\u500b\u624b\u5fb5\u73bb\u8272\u5b50\uff08chiral boson\uff09\u7136\u5f8c\u7528\u7d05\u8272\u5c0f\u7403\u8868\u793a\u4e00\u500b\u99ac\u7d04\u62c9\u7d0d\u8cbb\u7c73\u5b50\uff08Majorana fermion\uff09\u82e5\u6211\u5011\u771f\u7684\u5206\u6790 Pf \u8207 aPf \u7684\u908a\u754c\u81ea\u7531\u5ea6\uff0c\u6703\u767c\u73fe Pf \u64c1\u6709\u4e00\u500b\u5f80\u524d\u8dd1\u7684\u73bb\u8272\u5b50\u8ddf\u99ac\u7d04\u62c9\u7d0d\u8cbb\u7c73\u5b50\uff0c\u7531\u65bc\u99ac\u7d04\u62c9\u7d0d\u8cbb\u7c73\u5b50\u53ea\u662f\u534a\u500b\u6b63\u5e38\u7684\u8cbb\u7c73\u5b50\uff0c\u4ed6\u5728\u80fd\u91cf\u6d41\u7684\u8ca2\u737b\u53ea\u6709\u6b63\u5e38\u7c92\u5b50\u7684\u4e00\u534a\uff0c\u6240\u4ee5\u6574\u500b\u908a\u754c\u4e0a\u5171\u6709 1+1\/2 = 3\/2\u3002\u53e6\u4e00\u65b9\u9762\uff0caPf \u7684\u908a\u754c\u4e0a\u6709\u4e00\u500b\u5f80\u56de\u8dd1\u7684\u99ac\u7d04\u62c9\u7d0d\u8cbb\u7c73\u5b50\u3001\u4e00\u500b\u5f80\u56de\u8dd1\u7684\u73bb\u8272\u5b50\u8ddf\u4e00\u500b\u5f80\u524d\u8dd1\u7684\u73bb\u8272\u5b50\uff0c\u52a0\u8d77\u4f86\u662f -1\/2-1+1 = -1\/2\u3002\u52a0\u7e3d\u4e0b\u9762\u5169\u5c64\u586b\u6eff\u7684\u862d\u9053\u968e\uff0c\u5247\u5206\u5225\u6709 3\/2+2 = 7\/2\u8207-1\/2+2 = 3\/2\u3002\uff08photo credit: \u4f5c\u8005\u81ea\u7e6a\uff09<\/figcaption><\/figure>\n<p>\u9664\u4e86 anti-Pfaffian\uff0c\u5728 2015 \u5e74\uff0c\u829d\u52a0\u54e5\u5927\u5b78\u7684 D. T. Son \u5728\u5176\u72c4\u62c9\u514b\u8907\u5408\u8cbb\u7c73\u5b50 [3] \u7684\u6587\u7ae0\u4e2d\u6307\u51fa\uff0c\u5982\u679c\u8b93\u72c4\u62c9\u514b\u8907\u5408\u8cbb\u7c73\u5b50\u4ee5 s \u6ce2\u5f62\u6210\u53e4\u67cf\u5c0d\uff0c\u5247\u9019\u6a23\u7684\u914d\u5c0d\u81ea\u52d5\u662f\u7c92\u5b50-\u96fb\u6d1e\u5c0d\u7a31\u7684\uff0c\u4e5f\u56e0\u6b64\u4e0d\u80fd\u662f Pf \u6216 aPf\uff0c\u800c\u4ed6\u5c07\u9019\u500b\u72c0\u614b\u7a31\u4e4b\u70ba PH-Pfaffian\u3002<\/p>\n<p>\u76ee\u524d\u6578\u503c\u8a08\u7b97\u9084\u4e0d\u8db3\u4ee5\u8b93\u6211\u5011\u4e0b\u6700\u7d42\u7684\u7d50\u8ad6\uff08\u53ef\u4ee5\u53c3\u898b\u6587 [4] \u7684\u5f15\u8a00\u90e8\u5206\u3002\uff09\u4f46\u5f9e\u8a08\u7b97\u57fa\u614b\u80fd\u91cf\u7684\u89d2\u5ea6\uff0c\u7d50\u679c\u901a\u5e38\u662f Pf \u6216\u8005 aPf\u3002<\/p>\n<p>\u7269\u7406\u5b78\u5bb6\u5011\u7684\u4e0b\u4e00\u500b\u554f\u984c\u662f\uff0c\u90a3\u6709\u6c92\u6709\u4e00\u500b\u95dc\u9375\u7684\u5dee\u7570\uff0c\u8b93\u6211\u5011\u53ef\u4ee5\u5f9e\u5be6\u9a57\u4e0a\u53bb\u5206\u8fa8\u5927\u81ea\u7136\u6bd4\u8f03\u937e\u610f\u7684\u57fa\u614b\uff1f<\/p>\n<p>\u7b54\u6848\u662f\u80af\u5b9a\u7684\u3002\u5118\u7ba1\u9019\u5e7e\u500b\u6ce2\u51fd\u6578\u90fd\u5177\u6709\u4e00\u6a23\u7684\u96fb\u6027 v=5\/2\u3001\u4e00\u6a23\u7684\u6e96\u7c92\u5b50\u96fb\u8377e=1\/4\u4f46\u5982\u679c\u6211\u5011\u8003\u616e\u7cfb\u7d71\u7684\u908a\u754c\uff0c\u4e26\u6e2c\u91cf\u4ed6\u5011\u7684\u970d\u723e\u71b1\u5c0e\u7387\uff0c\u5c31\u6703\u7372\u5f97\u4e0d\u4e00\u6a23\u7684\u7b54\u6848\u3002\u4ee5 <img decoding=\"async\" class=\"alignnone wp-image-31606\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/02-1.png\" alt=\"\" width=\"100\" height=\"34\" data-wp-pid=\"31606\">\u70ba\u55ae\u4f4d\uff0c\u9019\u4e09\u500b\u72c0\u614b\u5206\u5225\u6709\u2014<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-31607\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/03-1.png\" alt=\"\" width=\"160\" height=\"138\" data-wp-pid=\"31607\"><\/p>\n<p>\u5728 2017 \u5e74\u5e95\uff0c\u4ee5\u8272\u5217 Weizmann \u79d1\u5b78\u7814\u7a76\u9662\u7684\u5718\u968a\u63d0\u51fa\u7684\u4ed6\u5011\u7684\u6e2c\u91cf\u7d50\u679c [5,6,7]\uff0c\u5c31\u7576\u5927\u5bb6\u8a8d\u70ba 7\/2 \u6216 3\/2 \u4e4b\u8b0e\u5c31\u8981\u6c34\u843d\u77f3\u51fa\u6642\uff0c\u8a72\u8ad6\u6587\u7684\u7d50\u8ad6\u662f\uff1a\u4ed6\u5011\u770b\u5230\u4e86 5\/2\u3002<\/p>\n<p>\u9019\u7576\u7136\u4e0d\u662f\u8aaa\u7b54\u6848\u5c31\u662f PH-Pfaffian\uff0c\u4f46\u9019\u7121\u7591\u5c0d\u7406\u8ad6\u7269\u7406\u5b78\u5bb6\u5011\u62cb\u51fa\u4e86\u65b0\u7684\u6311\u6230\u3002\u5982\u679c Pf \u8ddf aPf \u80fd\u91cf\u4e0a\u662f\u6bd4\u8f03\u53d7\u7cfb\u7d71\u9752\u775e\u7684\uff0c\u90a3\u6c92\u6709\u5176\u4ed6\u7684\u6a5f\u5236\uff0c\u5728\u4ee5 Pf \u6216 aPf \u4f5c\u70ba\u8a08\u7b97\u7684\u51fa\u767c\u9ede\uff0c\u537b\u4e5f\u80fd\u5920\u5f97\u5230 5\/2 \u7684\u4fc2\u6578\u3002<\/p>\n<p>\u5728\u9019\u5169\u5e74\u6709\u5e7e\u500b\u5718\u968a\u8003\u616e\u4e86\u771f\u5be6\u7cfb\u7d71\u4e2d\u96dc\u8cea\u8207\u4e82\u5e8f\uff08disorder\uff09\u5c0d\u65bc\u57fa\u614b\u9078\u64c7\u53ef\u80fd\u9020\u6210\u7684\u5f71\u97ff [4,6]\uff0c\u4e26\u4e14\u5f97\u51fa\u5728\u67d0\u4e9b\u689d\u4ef6\u4e0b\uff0c\u56e0\u70ba\u4e82\u5e8f\u7684\u5b58\u5728 PH Pf \u6709\u53ef\u80fd\u51fa\u73fe\u5728\u76f8\u5716\uff08phase diagram\uff09\u7684\u67d0\u4e00\u500b\u89d2\u843d\u3002\u7136\u800c\uff0c\u622a\u81f3\u4eca\u65e5\u9019\u500b\u554f\u984c\u9084\u6c92\u6709\u4e00\u500b\u516c\u8a8d\u7684\u7b54\u6848\uff0c\u4e0d\u540c\u5718\u968a\u63d0\u51fa\u7684\u76f8\u5716\u4e5f\u4e0d\u76e1\u76f8\u540c\u3002<\/p>\n<p>\u7d04\u5169\u500b\u6708\u524d\uff0c\u752b\u9000\u4f11\u7684\u54c8\u4f5b\u5927\u5b78\u6559\u6388 B. I. Halperin \u5728\u829d\u52a0\u54e5\u5927\u5b78\u4ee5\u300cWhat happens to the 5\/2 state?\u300d\u6f14\u8b1b\uff0c\u4e5f\u7d50\u8ad6\u6211\u5011\u76ee\u524d\u4f9d\u820a\u7121\u6cd5\u65b7\u8a00\u3002\u4f46\u53e6\u4e00\u65b9\u9762\u800c\u8a00\uff0c\u5be6\u9a57\u4e0a\u51fa\u4e4e\u610f\u6599\u7684\u7d50\u679c\uff0c\u4e5f\u662f\u6fc0\u767c\u5f8c\u7e8c\u7814\u7a76\u9ede\u5b50\u7684\u5951\u6a5f\u3002<\/p>\n<figure id=\"attachment_31611\" aria-describedby=\"caption-attachment-31611\" style=\"width: 672px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-31611\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/figure2.png\" alt=\"\" width=\"672\" height=\"210\" data-wp-pid=\"31611\"><figcaption id=\"caption-attachment-31611\" class=\"wp-caption-text\">Figure2. \u7c92\u5b50-\u96fb\u6d1e\u8f49\u63db\u793a\u610f\u5716\u3002\u6211\u5011\u7528\u6dfa\u85cd\u8272\u7684\u7403\u9ad4\u4f5c\u70ba\u7a7a\u7684\u8ecc\u57df\u800c\u4ee5\u6df1\u85cd\u8272\u7684\u7403\u9ad4\u4f5c\u70ba\u586b\u6eff\u7684\u8ecc\u57df\u3002\u7c92\u5b50-\u96fb\u6d1e\u8f49\u63db C \u5c07\u586b\u6eff\u7684\u8ecc\u57df\u8f49\u63db\u6210\u7a7a\u7684\u8ecc\u57df\u4e26\u5c07\u7a7a\u7684\u8ecc\u57df\u586b\u6eff\u3002\u5728\u534a\u586b\u6eff\u7684\u6642\u5019\uff0c\u524d\u5f8c\u7684\u7d44\u614b\u5728\u5927\u7cfb\u7d71\u4e2d\u662f\u4e00\u6a23\u7684\u3002\uff08photo credit: \u4f5c\u8005\u81ea\u7e6a\uff09<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p><strong>\u53c3\u8003\u8cc7\u6599:<\/strong><br \/>\n[1] M. Levin, B. I. Halperin, and B. Rosenow, Phys. Rev. Lett. <strong>99<\/strong>, 236806 (2007).<br \/>\n[2] S.-K. Lee, S. Ryu, C. Nayak, and M. A. Fisher, Phys. Rev. Lett. <strong>99<\/strong>, 236807 (2007).<br \/>\n[3] D. T. Son, Phys. Rev. X <strong>5<\/strong>, 031027 (2015).<br \/>\n[4] C. Wang, A. Vishwanath, and B. I. Halperin, arXiv: 1711.11557 (2017).<br \/>\n[5] M. Banerjee <em>et al<\/em>, Nature <strong>545<\/strong>, 75 (2017).<br \/>\n[6] M. Banerjee <em>et al<\/em>, arXiv: 1710.00492 (2017).<br \/>\n[7] D. Mross <em>et al<\/em>, arXiv: 1711.06278 (2017).<\/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>\u25a0\u5728\u524d\u5169\u7bc7\u6587\u7ae0\u4e2d\u6211\u5011\u9996\u5148\u8907\u7fd2\u4e86\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff0c\u6307\u51fav=5\/2\u7684\u7279\u5225\u4e4b\u8655\uff0c\u4e26\u4e14\u5c0d\u65bcv=5\/2 \u7684\u5176\u4e2d\u4e00\u500b\u5f37\u529b\u5019\u9078\u6ce2\u51fd\u6578 \u2014\u2014 Pf  \u614b\u9032\u884c\u4e86\u4e00\u4e9b\u5b9a\u6027\u4e0a\u7684\u4ecb\u7d39\u3002\u6211\u5011\u4e5f\u6307\u51fa\uff0cPf \u614b\u6240\u5167\u5efa\u6709\u8da3\u7684\u6578\u5b78\u6027\u8cea\uff0c\u4e5f\u9593\u63a5\u53cd\u994b\u5230\u5be6\u9a57\u7684\u7814\u7a76\uff0c\u5f37\u5316\u4e86\u4eba\u5011\u5c0d\u771f\u5be6\u7cfb\u7d71v=5\/2\u91cf\u5b50\u970d\u723e\u614b\u7684\u8208\u8da3\u3002<br \/>\n\u5728\u672c\u6587\u4e2d\uff0c\u6211\u5011\u5c07\u8a0e\u8ad6\u73fe\u4eca\u8207 Pf \u5206\u5ead\u6297\u79ae\u7684\u5019\u9078\u4eba\uff08\u5011\uff09\u3002<\/p>\n","protected":false},"author":20,"featured_media":31609,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,39],"tags":[3946,3947,3948,3945,3942],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/07\/figure0.png","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31604"}],"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=31604"}],"version-history":[{"count":3,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31604\/revisions"}],"predecessor-version":[{"id":31614,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/31604\/revisions\/31614"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/31609"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=31604"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=31604"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=31604"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}