A Four-Dimensional Generalization of the Quantum Hall Effect
We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible qua...
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| Veröffentlicht in: | Science (American Association for the Advancement of Science) 2001-10, Vol.294 (5543), p.823-828 |
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| container_issue | 5543 |
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| container_title | Science (American Association for the Advancement of Science) |
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| creator | Zhang, Shou-Cheng Hu, Jiangping |
| description | We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitation in the bulk interior and gapless elementary excitations at the boundary are investigated. |
| doi_str_mv | 10.1126/science.294.5543.823 |
| format | Article |
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This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitation in the bulk interior and gapless elementary excitations at the boundary are investigated.</description><identifier>ISSN: 0036-8075</identifier><identifier>EISSN: 1095-9203</identifier><identifier>DOI: 10.1126/science.294.5543.823</identifier><identifier>PMID: 11679662</identifier><identifier>CODEN: SCIEAS</identifier><language>eng</language><publisher>Washington, DC: American Society for the Advancement of Science</publisher><subject>Analysis ; Angular momentum ; Atoms & subatomic particles ; Condensed matter: electronic structure, electrical, magnetic, and optical properties ; Coordinate systems ; Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures ; Electronic transport in interface structures ; Elementary excitations ; Exact sciences and technology ; Fractions ; Generalization ; Ground state ; Integers ; Isospin ; Liquids ; Particle energy ; Physics ; Quantum Hall effect ; Quantum hall effect (including fractional) ; Quantum mechanics ; Quantum theory ; Relativistic particles ; Studies ; Topology ; Wave functions</subject><ispartof>Science (American Association for the Advancement of Science), 2001-10, Vol.294 (5543), p.823-828</ispartof><rights>Copyright 2001 American Association for the Advancement of Science</rights><rights>2002 INIST-CNRS</rights><rights>COPYRIGHT 2001 American Association for the Advancement of Science</rights><rights>COPYRIGHT 2001 American Association for the Advancement of Science</rights><rights>Copyright American Association for the Advancement of Science Oct 26, 2001</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c784t-6c9d7c8f206892e1c39654d0e14f39557730f07f5a8d493dcc355391804c46f3</citedby><cites>FETCH-LOGICAL-c784t-6c9d7c8f206892e1c39654d0e14f39557730f07f5a8d493dcc355391804c46f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/3085069$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/3085069$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>315,782,786,805,2886,2887,27931,27932,58024,58257</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=14148582$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/11679662$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Zhang, Shou-Cheng</creatorcontrib><creatorcontrib>Hu, Jiangping</creatorcontrib><title>A Four-Dimensional Generalization of the Quantum Hall Effect</title><title>Science (American Association for the Advancement of Science)</title><addtitle>Science</addtitle><description>We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. 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Gapped elementary excitation in the bulk interior and gapless elementary excitations at the boundary are investigated.</description><subject>Analysis</subject><subject>Angular momentum</subject><subject>Atoms & subatomic particles</subject><subject>Condensed matter: electronic structure, electrical, magnetic, and optical properties</subject><subject>Coordinate systems</subject><subject>Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures</subject><subject>Electronic transport in interface structures</subject><subject>Elementary excitations</subject><subject>Exact sciences and technology</subject><subject>Fractions</subject><subject>Generalization</subject><subject>Ground state</subject><subject>Integers</subject><subject>Isospin</subject><subject>Liquids</subject><subject>Particle energy</subject><subject>Physics</subject><subject>Quantum Hall effect</subject><subject>Quantum hall effect (including 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This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitation in the bulk interior and gapless elementary excitations at the boundary are investigated.</abstract><cop>Washington, DC</cop><pub>American Society for the Advancement of Science</pub><pmid>11679662</pmid><doi>10.1126/science.294.5543.823</doi><tpages>6</tpages></addata></record> |
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| ispartof | Science (American Association for the Advancement of Science), 2001-10, Vol.294 (5543), p.823-828 |
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| subjects | Analysis Angular momentum Atoms & subatomic particles Condensed matter: electronic structure, electrical, magnetic, and optical properties Coordinate systems Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures Electronic transport in interface structures Elementary excitations Exact sciences and technology Fractions Generalization Ground state Integers Isospin Liquids Particle energy Physics Quantum Hall effect Quantum hall effect (including fractional) Quantum mechanics Quantum theory Relativistic particles Studies Topology Wave functions |
| title | A Four-Dimensional Generalization of the Quantum Hall Effect |
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