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Exactly Solvable Model for Strongly Interacting Electrons in a Magnetic Field
States of strongly interacting particles are of fundamental interest in physics and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the standard practice of restricting to the lowest LL, introduce a...
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Published in: | Physical review letters 2021-04, Vol.126 (13), p.136601-136601, Article 136601 |
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container_end_page | 136601 |
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container_title | Physical review letters |
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creator | Anand, Abhishek Jain, J K Sreejith, G J |
description | States of strongly interacting particles are of fundamental interest in physics and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the standard practice of restricting to the lowest LL, introduce a model short-range interaction that is infinitely strong compared to the cyclotron energy. We demonstrate that this model lends itself to an exact solution for the ground as well as excited states at arbitrary filling factors ν |
doi_str_mv | 10.1103/PhysRevLett.126.136601 |
format | article |
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We consider here two-dimensional electrons in a magnetic field, and, departing from the standard practice of restricting to the lowest LL, introduce a model short-range interaction that is infinitely strong compared to the cyclotron energy. We demonstrate that this model lends itself to an exact solution for the ground as well as excited states at arbitrary filling factors ν<1/2p and produces a fractional quantum Hall effect at fractions of the form ν=n/(2pn+1), where n and p are integers. The fractional quantum Hall states of our model share many topological properties with the corresponding Coulomb ground states in the lowest Landau level, such as the edge physics and the fractional charge of the excitations.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/PhysRevLett.126.136601</identifier><identifier>PMID: 33861091</identifier><language>eng</language><publisher>United States: American Physical Society</publisher><subject>composite fermion ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; Cyclotrons ; Electrons ; Exact solutions ; exactly solvable models ; fractional quantum Hall effect ; Magnetic fields ; Quantum Hall effect ; Topology</subject><ispartof>Physical review letters, 2021-04, Vol.126 (13), p.136601-136601, Article 136601</ispartof><rights>Copyright American Physical Society Apr 2, 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c366t-52792681235be6fc35cd43f2f4f88868fc878f3a99f38dfbe65c05b709c061213</citedby><cites>FETCH-LOGICAL-c366t-52792681235be6fc35cd43f2f4f88868fc878f3a99f38dfbe65c05b709c061213</cites><orcidid>0000-0003-0082-5881 ; 0000-0002-2068-1670 ; 0000-0003-3332-1700 ; 0000000300825881 ; 0000000220681670 ; 0000000333321700</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,776,780,881,27901,27902</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/33861091$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/servlets/purl/1773676$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Anand, Abhishek</creatorcontrib><creatorcontrib>Jain, J K</creatorcontrib><creatorcontrib>Sreejith, G J</creatorcontrib><creatorcontrib>Pennsylvania State Univ., University Park, PA (United States)</creatorcontrib><title>Exactly Solvable Model for Strongly Interacting Electrons in a Magnetic Field</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>States of strongly interacting particles are of fundamental interest in physics and can produce exotic emergent phenomena and topological structures. 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source | American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list) |
subjects | composite fermion CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Cyclotrons Electrons Exact solutions exactly solvable models fractional quantum Hall effect Magnetic fields Quantum Hall effect Topology |
title | Exactly Solvable Model for Strongly Interacting Electrons in a Magnetic Field |
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