{"id":32909,"date":"2018-12-24T00:50:33","date_gmt":"2018-12-23T16:50:33","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=32909"},"modified":"2018-12-21T11:20:20","modified_gmt":"2018-12-21T03:20:20","slug":"%ce%bd-52-72%ef%bc%8c%e5%88%86%e6%95%b8%e9%87%8f%e5%ad%90%e9%9c%8d%e7%88%be%e6%85%8b%e8%88%87%e5%90%91%e5%88%97%e7%9b%b8%ef%bc%8c%e5%be%9e%e6%8b%93%e6%a8%b8%e5%ba%8f%e5%88%b0%e8%87%aa%e7%99%bc","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=32909","title":{"rendered":"\u03bd =5\/2  &#038; 7\/2\uff0c\u5206\u6578\u91cf\u5b50\u970d\u723e\u614b\u8207\u5411\u5217\u76f8\uff0c\u5f9e\u62d3\u6a38\u5e8f\u5230\u81ea\u767c\u5c0d\u7a31\u6027\u7834\u58de"},"content":{"rendered":"<p><figure id=\"attachment_33426\" aria-describedby=\"caption-attachment-33426\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-large wp-image-33426\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/ff1-1024x392.png\" alt=\"\" width=\"800\" height=\"306\" data-wp-pid=\"33426\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/ff1-1024x392.png 1024w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/ff1-300x115.png 300w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/ff1-768x294.png 768w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/ff1-800x306.png 800w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/ff1-600x229.png 600w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/ff1.png 1169w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><figcaption id=\"caption-attachment-33426\" class=\"wp-caption-text\">Figure1. (Photo credit: \u4f5c\u8005\u81ea\u7e6a)<br \/>\u6839\u64da\u6587\u737b [3]\uff0c\u5728\u589e\u52a0\u7684\u58d3\u529b\u4e0b\uff0c\u539f\u672c\u7684\u91cf\u5b50\u970d\u723e\u614b\u6703\u5148\u8b8a\u6210\u5411\u5217\u614b\u6700\u5f8c\u8b8a\u6210\u4e00\u822c\u7684\u8cbb\u7c73\u6db2\u9ad4\u3002<\/figcaption><\/figure><span style=\"color: #333399;\"><strong>\u25a0\u5be6\u9a57\u4e0a\u5df2\u7d93\u89c0\u5bdf\u5230\u5728\u534a\u5c0e\u9ad4\u4e2d v=5\/2 &amp; 7\/2 \u4e0d\u50c5\u50c5\u53ef\u4ee5\u662f\u91cf\u5b50\u970d\u723e\u614b\uff0c\u9084\u53ef\u4ee5\u900f\u904e\u6539\u8b8a\u58d3\u529b\u7522\u751f\u7684\u76f8\u8b8a\u5316\uff0c\u81ea\u767c\u5730\u7834\u58de\u65cb\u8f49\u5c0d\u7a31\u6027\u3002<\/strong><\/span><\/p>\n<p><strong>\u64b0\u6587\uff5c\u856d\u7dad\u7ff0<\/strong><\/p>\n<p>\u524d\u9663\u5b50\u8b80\u8005\u66fe\u64b0\u5beb\u4e86\u4e00\u7cfb\u5217\u95dc\u65bc\u91cf\u5b50\u970d\u723e\u6548\u61c9\uff08Hall effect\uff09\u7684\u6587\u7ae0\uff0c\u5176\u4e2d\u6709\u6578\u7bc7\u8a0e\u8ad6\u4e86 v=5\/2 \u7684\u57fa\u614b\u8a72\u662f\u4ec0\u9ebc\uff1a\u7a76\u7adf\u662f Pfaffian, anti-Pfaffin, \u9084\u662f PH-Pfaffian\uff0c\u6216\u8005\u90fd\u4e0d\u662f\u7b49\u7b49\u3002\u5373\u4fbf\u5728\u7406\u8ad6\u4e0a\u9019\u500b\u8b70\u984c\u4f9d\u820a\u61f8\u800c\u672a\u6c7a\uff0c\u9019\u5e7e\u5e74\u7684\u5be6\u9a57\u9032\u5c55\u537b\u6c92\u6709\u7d66\u7406\u8ad6\u5b78\u5bb6\u5598\u606f\u7684\u7a7a\u9593\uff0c\u53cd\u4e4b\uff0c\u8d8a\u4f86\u8d8a\u591a\u7684\u65b0\u767c\u73fe\u8b93\u5206\u6578\u91cf\u5b50\u970d\u723e\u6548\u61c9\u6240\u727d\u6d89\u7684\u7269\u7406\u66f4\u52a0\u8c50\u5bcc\uff0c\u4e5f\u8b93\u5b78\u8005\u5011\u56f0\u60d1\u540c\u6642\u53c8\u56ae\u5f80\u3002<\/p>\n<p>\u66ab\u6642\u5f9e\u7406\u8ad6\u62bd\u8eab\uff0c\u4eca\u5929\u7b46\u8005\u60f3\u8ddf\u5927\u5bb6\u5206\u4eab\u6700\u8fd1\u5728\u5206\u6578\u91cf\u5b50\u970d\u723e\u6548\u61c9\u5be6\u9a57\u4e0a\u91dd\u5c0d v=5\/2 \u8207\u5b83\u7684\u5925\u4f34 v=7\/2 \u7684\u65b0\u767c\u73fe [1, 2, 3]\uff0c\u770b\u770b\u4ed6\u5011\u600e\u9ebc\u8ddf\u6240\u8b02\u7684\u5411\u5217\u76f8\uff08nematic phase\uff09\u7522\u751f\u95dc\u806f\u3002<\/p>\n<p>\u9996\u5148\u8b93\u6211\u5011\u8907\u7fd2 v=5\/2 \u6216 7\/2 \u662f\u4ec0\u9ebc\u610f\u601d\u3002\u5047\u82e5\u6211\u5011\u5728\u4e00\u500b\u4e8c\u7dad\u7a7a\u9593\u4e2d\u653e\u5165\u4e00\u5806\u96fb\u5b50\uff0c\u7576\u6211\u5011\u65bd\u52a0\u4e00\u500b\u5782\u76f4\u65b9\u5411\u7684\u78c1\u5834\uff0c\u55ae\u96fb\u5b50\u7684\u80fd\u968e\u6703\u5f62\u6210\u862d\u9053\u968e\u3002\u6bcf\u500b\u862d\u9053\u968e\u5c31\u50cf\u516c\u5bd3\u7684\u67d0\u5c64\u6a13\uff0c\u88e1\u9762\u6709\u5f88\u591a\u300c\u623f\u9593\u300d\uff08\u4e5f\u5c31\u662f\u8ecc\u57df\uff09\uff0c\u8981\u5f62\u6210\u4e00\u500b\u591a\u7c92\u5b50\u7684\u91cf\u5b50\u614b\uff0c\u6bcf\u500b\u96fb\u5b50\u6703\u88ab\u653e\u9032\u67d0\u5c64\u6a13\u7684\u67d0\u500b\u623f\u9593\u3002v \u4ee3\u8868\u7684\u7269\u7406\u610f\u7fa9\u5c31\u662f\u88ab\u586b\u6eff\u7684\u862d\u9053\u968e\u6578\u76ee\u3002\u56e0\u70ba\u5be6\u969b\u4e0a\u7684\u96fb\u5b50\u53ef\u4ee5\u5e36\u6709\u5169\u500b\u81ea\u65cb\uff0cv=5\/2 \u5c0d\u61c9\u7684\u662f\u7b2c\u4e00\u500b\u862d\u9053\u968e\u7684\u5169\u7a2e\u81ea\u65cb\u614b\u90fd\u88ab\u586b\u6eff\uff0c\u800c\u7b2c\u4e8c\u500b\u862d\u9053\u968e\u7684\u7b2c\u4e00\u500b\u81ea\u65cb\u614b\u88ab\u534a\u586b\u6eff\u3002\u540c\u7406\u53ef\u63a8\uff0cv=7\/2 \u662f\u5c07\u7b2c\u4e8c\u500b\u862d\u9053\u968e\u7684\u7b2c\u4e00\u500b\u81ea\u65cb\u614b\u4e5f\u586b\u6eff\uff0c\u800c\u7b2c\u4e8c\u500b\u81ea\u65cb\u614b\u534a\u586b\u6eff\u3002\u5716\u50cf\u53ef\u53c3\u8003\u5716\u4e8c\u3002<\/p>\n<figure id=\"attachment_33427\" aria-describedby=\"caption-attachment-33427\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-33427\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/FF2-1.png\" alt=\"\" width=\"500\" height=\"310\" data-wp-pid=\"33427\" srcset=\"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/FF2-1.png 965w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/FF2-1-300x186.png 300w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/FF2-1-768x476.png 768w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/FF2-1-800x496.png 800w, https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/FF2-1-600x372.png 600w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><figcaption id=\"caption-attachment-33427\" class=\"wp-caption-text\">Figure2. \uff08photo credit: \u4f5c\u8005\u81ea\u7e6a\uff09<br \/> \u6211\u5011\u5716\u793a 5\/2 \u8ddf 7\/2 \u7684\u91cf\u5b50\u970d\u723e\u614b\u5728\u862d\u9053\u968e\u4e2d\u7684\u6392\u5217\u60c5\u5f62\u3002<\/figcaption><\/figure>\n<p>\u534a\u586b\u6eff\u7684\u862d\u9053\u968e\u5728\u6700\u521d\u6b65\u7684\u5206\u6790\u4e2d\u6703\u5f62\u6210\u4e00\u500b\u8cbb\u7c73\u6d77\uff0c\u4f46\u5be6\u969b\u4e0a v=5\/2 &nbsp;\u8ddf v=7\/2 \u90fd\u662f\u6709\u80fd\u9699\u7684\u72c0\u614b\uff08gapped states\uff09\u3002\u6211\u5011\u5df2\u7d93\u8aaa\u660e\u904e\u5982\u4f55\u5f9e\u4e00\u500b\u6c92\u80fd\u9699\uff08gapless\uff09\u7684\u8cbb\u7c73\u6d77\u53bb\u7522\u751f\u4e00\u500b\u6709\u80fd\u9699\u7684\u72c0\u614b\uff0c\u4f7f\u7528\u8907\u5408\u8cbb\u7c73\u5b50\u7684\u8a9e\u8a00\uff0c\u53ef\u4ee5\u7406\u89e3\u70ba\u8907\u5408\u8cbb\u7c73\u5b50\u5f62\u6210\u8d85\u5c0e\u9ad4\u800c\u5c0e\u81f4\u6709\u9650\u7684\u80fd\u9699\u3002\u8b80\u8005\u53ef\u4ee5\u67e5\u95b1\u4e4b\u524d\u7684\u6587\u7ae0\uff08\u6216\u88e1\u9762\u7684\u53c3\u8003\u6587\u737b\uff09\u4f86\u56de\u61b6\u3002<\/p>\n<p>\u5f9e\u5be6\u8b49\u7684\u89c0\u9ede\uff0c\u6211\u5011\u53ef\u4ee5\u5fd8\u8a18\u8907\u5408\u8cbb\u7c73\u5b50\u9019\u4e9b\u62bd\u8c61\u540d\u8a5e\uff0c\u7e3d\u4e4b \uff081\uff09 v=5\/2 \uff08v=7\/2 \uff09\u662f\u500b\u7d55\u7de3\u9ad4\uff08\u56e0\u70ba\u5b83\u6709\u80fd\u9699\uff09\uff0c\uff082\uff09\u5b83\u662f\u500b\u5206\u6578\u91cf\u5b50\u970d\u723e\u614b\uff08Fractional Quantum Hall state, FQHS\uff09\uff0c\u4e5f\u5c31\u662f\u7576\u4f60\u65bd\u52a0 <em>x<\/em> \u65b9\u5411\u7684\u96fb\u5834\uff0c\u6e2c\u5230\u7684 <em>x<\/em> \u65b9\u5411\u7684\u96fb\u963b <em>R<sub>xx&nbsp; <\/sub><\/em>\u70ba 0\uff0c\u800c\u65bd\u52a0&nbsp;<em>y&nbsp;<\/em>\u65b9\u5411\u7684\u96fb\u5834\u6642\uff0c\u6e2c\u5230 <em>y<\/em> \u65b9\u5411\u7684\u96fb\u963b&nbsp; <em>R<sub>xy&nbsp; <\/sub><\/em>\u70ba 0\u3002\u5728&nbsp;<em>R<sub>xx&nbsp; <\/sub><\/em>&nbsp;= <em>R<sub>yy&nbsp;<\/sub><\/em>\u7684\u610f\u7fa9\u4e0b\uff0c\u9019\u500b\u72c0\u614b\u662f\u6709\u65cb\u8f49\u5c0d\u7a31\u6027\u7684\u3002<\/p>\n<p>\u540c\u6a23\u5f9e\u5be6\u9a57\u7684\u89c0\u9ede\uff0c\u9019\u4e9b\u4e8b\u60c5\u5728\u66f4\u9ad8\u7684\u72c0\u614b v =9\/2, 11\/2, 13\/2 \uff0c\u4e26\u4e0d\u70ba\u771f\uff0c\u610f\u601d\u662f\u5728\u9019\u4e9b\u614b\u88e1\u9762\u6211\u5011\u90fd\u6709&nbsp;<em>R<sub>xx&nbsp; <\/sub><\/em>&nbsp;\u2260 <em>R<sub>yy <\/sub><\/em>\u3002<\/p>\n<p>\u5f9e\u5fae\u89c0\u7684\u89d2\u5ea6\uff0c\u6709\u5f88\u591a\u7269\u8cea\u76f8\u53ef\u4ee5\u5c0e\u81f4&nbsp;<em>R<sub>xx&nbsp; <\/sub><\/em>\u2260 <em>R<sub>yy <\/sub><\/em>\uff0c\u7d93\u7531\u8ddf\u5be6\u9a57\u6750\u6599\u7684\u6027\u8cea\u6bd4\u5c0d\uff0c\u7269\u7406\u5b78\u5bb6\u628a\u53ef\u80fd\u6027\u4fb7\u9650\u5230\u6240\u8b02\u7684\u5411\u5217\u76f8\uff08nematic phase\uff09\u3002\u5728\u672c\u6587\u5269\u4e0b\u7684\u6bb5\u843d\u4e2d\uff0c\u6211\u5c07&nbsp;<em>R<sub>xx&nbsp; <\/sub><\/em>\u2260 <em>R<sub>yy <\/sub><\/em>&nbsp;\u8207\u5411\u5217\u76f8\u8996\u70ba\u4e92\u6587\u3002\u4e4b\u5f8c\u6211\u5011\u5c07\u53e6\u5916\u82b1\u7bc7\u5e45\u8f03\u7cbe\u78ba\u5730\u8aaa\u660e\u5b83\u7684\u610f\u7fa9\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u4eca\u5929\u6211\u5011\u53ea\u805a\u7126\u65bc 5\/2 \u548c 7\/2\u3002\u6700\u7c21\u55ae\u7684\u554f\u984c\uff08\u4e4b\u4e00\uff09\u662f\uff0c\u9019\u6a23\u7684\u65cb\u8f49\u5c0d\u7a31\u6027\u80fd\u4e0d\u80fd\u88ab\u7834\u58de\u5462\uff1f\u7576\u7136\uff0c\u7e3d\u662f\u6709\u4e00\u4e9b\u76f4\u63a5\u4f46\u4e0d\u90a3\u9ebc\u6709\u8da3\u7684\u65b9\u6cd5\u53ef\u4ee5\u7834\u58de\u5b83\uff0c\u8b6c\u5982\u6211\u5011\u5728\u5e73\u9762\u7684\u65b9\u5411\u4e5f\u65bd\u52a0\u78c1\u5834\u3002\u56e0\u6b64\uff0c\u66f4\u6709\u610f\u7fa9\u7684\u554f\u984c\u662f\uff0c\u80fd\u4e0d\u80fd\u8b93\u9019\u500b\u65cb\u8f49\u5c0d\u7a31\u6027\u88ab\u300c\u81ea\u767c\u7834\u58de\u300d\u5462\uff1f<\/p>\n<p>\u5c0d\u7a31\u6027\u7684\u81ea\u767c\u7834\u58de\u5df2\u7d93\u662f\u5f88\u8001\u7684\u554f\u984c\u4e86\u3002\u842c\u5e74\u4e0d\u820a\u7684\u4f8b\u5b50\u5c31\u662f\u78c1\u9435\uff0c\u5373\u4fbf\u6211\u5011\u4e0d\u65bd\u52a0\u4efb\u4f55\u5916\u52a0\u78c1\u5834\uff0c\u78c1\u9435\u4f9d\u820a\u300c\u81ea\u767c\u5730\u300d\u504f\u597d\u67d0\u500b\u65b9\u5411\u3002<\/p>\n<p>\u7136\u800c\u5728 5\/2 \u9019\u6a23\u7cfb\u7d71\u4e2d\uff0c\u5c0d\u7a31\u6027\u7684\u300c\u81ea\u767c\u7834\u58de\u300d\u662f\u500b\u6709\u8da3\u7684\u8b70\u984c\u3002\u56de\u61b6\u6211\u5011\u5728 Pfaffian \u90a3\u5e7e\u7bc7\u6587\u7ae0\u7684\u8a0e\u8ad6\u4e2d\uff0c\u66fe\u63d0\u53ca 5\/2 \u662f\u53ef\u4ee5\u6709\u300c\u62d3\u6a38\u5e8f\u300d\uff08topological order\uff09\u7684\u3002\u5728\u4e00\u822c\u4f86\u8aaa\u76f8\u8b8a\u5316\uff08phase transition\uff09\u7684\u4f8b\u5b50\u88e1\uff0c\u6211\u5011\u6703\u5c07\u62d3\u6a38\u76f8\u4e4b\u9593\u7684\u8b8a\u5316\u548c\u56e0\u70ba\u5c0d\u7a31\u7834\u58de\u6240\u7522\u751f\u7684\u76f8\u8b8a\u5316\u5206\u958b\u8a0e\u8ad6\uff0c\u5982\u7576\u6211\u5011\u5728\u8a0e\u8ad6\u5f8c\u8005\u6642\uff0c\u901a\u5e38\u5c31\u6703\u96c6\u4e2d\u7cbe\u795e\u8a0e\u8ad6\u9806\u78c1\u6027\uff08paramagnetism\uff09\u8ddf\u9435\u78c1\u6027\uff08ferromagnetism\uff09\u4e4b\u9593\u7684\u8b8a\u5316\uff0c\u4e0d\u6703\u5c07\u62d3\u6a38\u7684\u7269\u7406\u62c9\u9032\u4f86\u4e00\u8d77\u8ac7\u3002\u4f46\u5728\u9019\u500b\u554f\u984c\u4e2d\uff0c\u6211\u5011\u78ba\u6709\u6a5f\u6703\u8a0e\u8ad6\u5f9e\u4e00\u500b\u62d3\u6a38\u76f8\u5230\u4e00\u500b\u5c0d\u7a31\u7834\u58de\u76f8\uff08symmetry broken phase\uff09\u7684\u76f8\u8b8a\u5316\u3002<\/p>\n<p>\u5728 2016 \u5e74\u7684\u4e00\u7bc7 Nature \u6587\u7ae0\u4e2d [1]\uff0c\u9019\u6a23\u7684\u76f8\u8b8a\u5316\u7d42\u65bc\u88ab\u767c\u73fe\u4e26\u5831\u5c0e\u4e86\u51fa\u4f86\u3002\u8a72\u6587\u6307\u51fa\uff0c\u5f9e\u4e00\u500b5\/2 \u7684\u91cf\u5b50\u970d\u723e\u614b\uff08FQHS\uff09\u51fa\u767c\uff0c\u4e00\u8def\u589e\u52a0\u7cfb\u7d71\u7684\u58d3\u529b\uff0c\u7576\u58d3\u529b\u8d85\u8d8a\u67d0\u500b\u95a5\u503c\u7684\u6642\u5019\uff0c\u7cfb\u7d71\u88ab\u89c0\u6e2c\u5230\u767c\u73fe\u4e00\u500b\u76f8\u8b8a\u5316\uff0c\u9032\u5165\u5230\u4e00\u500b\u65cb\u8f49\u4e0d\u5c0d\u7a31\u7684\u72c0\u614b\u3002\u5be6\u9a57\u4e0a\u6240\u7d66\u51fa\u7684\u8b49\u64da\u662f\uff0c\u5b83\u5011\u6e2c\u91cf\u4e0d\u540c\u58d3\u529b\u503c\u4e0b\u7684<em>R<sub>xx&nbsp; <\/sub><\/em>&nbsp;\u548c <em>R<sub>yy <\/sub><\/em>\uff0c\u767c\u73fe\u96a8\u8457\u58d3\u529b\u8b8a\u5927\uff0c\u6e2c\u91cf\u7d50\u679c\u4e00\u8def\u5f9e&nbsp;<em>R<sub>xx&nbsp;<\/sub><\/em>= <em>R<sub>yy<\/sub> = <\/em>0 \u8f49\u8b8a\u6210&nbsp;<em>R<sub>xx&nbsp;<\/sub><\/em>\u2260 <em>R<sub>yy&nbsp; <\/sub><\/em>\u3002<\/p>\n<p>\u800c\u5f8c\u5728 2018 \u5e74\u7684\u53e6\u4e00\u7bc7\u6587\u7ae0\u4e2d [3]\uff0c\u4ed6\u5011\u5c0d 7\/2 \u7684\u91cf\u5b50\u970d\u723e\u614b\u4e5f\u9032\u884c\u4e86\u91cf\u6e2c\uff0c\u4e26\u767c\u73fe\u4e86\u985e\u4f3c\u7684\u5b9a\u6027\u884c\u70ba\uff0c\u4e26\u4e14\u6307\u51fa\u8981\u9032\u5165 7\/2 \u6240\u9700\u8981\u7684\u58d3\u529b\u95a5\u503c\u6bd4 5\/2 \u8981\u986f\u8457\u5730\u5c0f\u3002\u53e6\u5916\uff0c\u4ed6\u5011\u63d0\u4f9b\u4e86\u5176\u4ed6\u7684\u6e2c\u91cf\uff0c\u4f86\u8aaa\u660e\u58d3\u529b\u61c9\u8a72\u4e0d\u662f\u6c7a\u5b9a\u9019\u500b\u76f8\u8b8a\u5316\u7684\u552f\u4e00\u65b9\u5f0f\uff08\u56e0\u70ba\u58d3\u529b\u662f\u500b\u5de8\u89c0\u7684\u71b1\u529b\u5b78\u8b8a\u6578\uff0c\u6539\u8b8a\u58d3\u529b\u6642\uff0c\u5176\u5be6\u4e5f\u6539\u8b8a\u4e00\u7cfb\u5217\u7684\u5fae\u89c0\u8b8a\u6578\u3002\uff09\u8a72\u6587\u4e5f\u7d66\u51fa\u4e00\u4e9b\u8ad6\u8ff0\uff0c\u8aaa\u660e\u7d93\u904e\u862d\u9053\u968e\u6df7\u5408\u8207\u6a23\u54c1\u7684\u6709\u9650\u539a\u5ea6\u5f71\u97ff\u5f8c\u7684\u96fb\u5b50\u4ea4\u4e92\u4f5c\u7528\u5728\u9019\u500b\u76f8\u8b8a\u5316\u4e2d\u5730\u4f4d\u8209\u8db3\u8f15\u91cd\u3002<\/p>\n<p>\u76ee\u524d\u7406\u8ad6\u7269\u7406\u5b78\u5bb6\u5011\uff0c\u9084\u4e0d\u5b8c\u5168\u77e5\u9053\u9020\u6210\u9019\u6a23\u76f8\u8b8a\u5316\u7684\u5fae\u89c0\u6a5f\u5236\u662f\u4ec0\u9ebc\uff0c\u5176\u4e2d\u4e00\u500b\u53ef\u80fd\u7684\u8173\u672c\u662f\u8a0e\u8ad6\u8907\u5408\u8cbb\u7c73\u5b50\u56e0\u70ba\u67d0\u4e9b\u5f37\u52e2\u7684\u862d\u9053\u53c3\u6578\u800c\u9020\u6210\u7684\u76f8\u8b8a\u5316\u3002\u6211\u5011\u5c07\u5728\u4e4b\u5f8c\u4ecb\u7d39\u5411\u5217\u76f8\u6642\u4e00\u4e26\u8aaa\u660e\u9019\u53e5\u8a71\u7cbe\u78ba\u7684\u610f\u6db5\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u53c3\u8003\u8cc7\u6599\uff1a<\/strong><\/p>\n<p>[1] N. Samkharadze, et al, Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase, Nature Physics <strong>12<\/strong>, 191-195 (2016)<br \/>\n[2] K. A. Schreiber et al, Onset of quantum criticality in the topological-to-nematic transition in a two-dimensional electron gas at filling factor &nbsp;=5\/2, Phys. Rev. B <strong>96<\/strong>, 041107(R) (2017).<br \/>\n[3] K. A. Schreiber et al, Electron-electron interactions and the paired-to-nematic quantum phase transition in the second Landau level, Nature Communications (2018) <strong>9<\/strong>, 2400<\/p>\n<p>&nbsp;<\/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><a href=\"https:\/\/line.me\/R\/ti\/p\/%40fcx6182w\" target=\"_blank\" rel=\"noopener noreferrer\"><img 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\u5be6\u9a57\u4e0a\u5df2\u7d93\u89c0\u5bdf\u5230\u5728\u534a\u5c0e\u9ad4\u4e2d v=5\/2 &#038; 7\/2 \u4e0d\u50c5\u50c5\u53ef\u4ee5\u662f\u91cf\u5b50\u970d\u723e\u614b\uff0c\u9084\u53ef\u4ee5\u900f\u904e\u6539\u8b8a\u58d3\u529b\u7522\u751f\u7684\u76f8\u8b8a\u5316\uff0c\u81ea\u767c\u5730\u7834\u58de\u65cb\u8f49\u5c0d\u7a31\u6027\u3002<\/p>\n","protected":false},"author":20,"featured_media":33425,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,39],"tags":[3299,3945,3942,2653],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2018\/12\/FF2.png","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/32909"}],"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=32909"}],"version-history":[{"count":4,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/32909\/revisions"}],"predecessor-version":[{"id":33430,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/32909\/revisions\/33430"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/33425"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=32909"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=32909"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=32909"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}