Model anisotropic quantum Hall states
Model quantum Hall states including Laughlin, Moore-Read, and Read-Rezayi states are generalized into appropriate anisotropic form. The generalized states are exact zero-energy eigenstates of corresponding anisotropic two- or multibody Hamiltonians, and explicitly illustrate the existence of geometr...
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Veröffentlicht in: | Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2012-03, Vol.85 (11), Article 115308 |
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container_title | Physical review. B, Condensed matter and materials physics |
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creator | Qiu, R-Z Haldane, F D M Wan, Xin Yang, Kun Yi, Su |
description | Model quantum Hall states including Laughlin, Moore-Read, and Read-Rezayi states are generalized into appropriate anisotropic form. The generalized states are exact zero-energy eigenstates of corresponding anisotropic two- or multibody Hamiltonians, and explicitly illustrate the existence of geometric degree of freedom in the fractional quantum Hall effect. These generalized model quantum Hall states can provide a good description of the quantum Hall system with anisotropic interactions. Some numeric results of these anisotropic quantum Hall states are also presented. |
doi_str_mv | 10.1103/PhysRevB.85.115308 |
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Some numeric results of these anisotropic quantum Hall states are also presented.</description><subject>Anisotropy</subject><subject>Condensed matter</subject><subject>Degrees of freedom</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Quantum Hall effect</subject><issn>1098-0121</issn><issn>1550-235X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqNkE9LxDAQxYMouK5-AU9FELx0zeRfk6Mu6goriih4C2masJVu021SYb-9lerd0zyGH2_mPYTOAS8AML1-2ezjq_u6XUg-LjjF8gDNgHOcE8o_DkeNlcwxEDhGJzF-YgxMMTJDl0-hck1m2jqG1IeuttluMG0attnKNE0Wk0kunqIjb5rozn7nHL3f370tV_n6-eFxebPOLZUs5UUhKw9eeFyCtaDU-BpTQpiqZEIKUXogQhllrVVl6TywSoGTnkLhfYk9naOLyTfEVOto6-Tsxoa2dTbpMSgjhIzQ1QR1fdgNLia9raN1TWNaF4aoocAABDPG_4ViKnkBI0om1PYhxt553fX11vR7DfjnNNV_HWvJ9dQx_QaBWm95</recordid><startdate>20120315</startdate><enddate>20120315</enddate><creator>Qiu, R-Z</creator><creator>Haldane, F D M</creator><creator>Wan, Xin</creator><creator>Yang, Kun</creator><creator>Yi, Su</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20120315</creationdate><title>Model anisotropic quantum Hall states</title><author>Qiu, R-Z ; Haldane, F D M ; Wan, Xin ; Yang, Kun ; Yi, Su</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c384t-778df1f6f0b1cc1991034966adb46866bf1269a9ccc9bbef14d91e8f317ffb0f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Anisotropy</topic><topic>Condensed matter</topic><topic>Degrees of freedom</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Quantum Hall effect</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Qiu, R-Z</creatorcontrib><creatorcontrib>Haldane, F D M</creatorcontrib><creatorcontrib>Wan, Xin</creatorcontrib><creatorcontrib>Yang, Kun</creatorcontrib><creatorcontrib>Yi, Su</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Physical review. 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These generalized model quantum Hall states can provide a good description of the quantum Hall system with anisotropic interactions. Some numeric results of these anisotropic quantum Hall states are also presented.</abstract><cop>United States</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevB.85.115308</doi><oa>free_for_read</oa></addata></record> |
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subjects | Anisotropy Condensed matter Degrees of freedom Mathematical analysis Mathematical models Quantum Hall effect |
title | Model anisotropic quantum Hall states |
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