SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3
We report on an exact diagonalization study of fractional quantum Hall states at a filling factor of ν = 2/3 in a system with a fourfold degenerate n = 0 Landau level and SU(4) symmetric Coulomb interactions. Our investigation reveals previously unidentified SU(3) and SU(4) singlet ground states whi...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/99358 https://orcid.org/0000-0002-1824-5167 |
| _version_ | 1826212001799471104 |
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| author | Wu, Fengcheng MacDonald, Allan H. Jolicoeur, Thierry Sodemann Villadiego, Inti A. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Wu, Fengcheng MacDonald, Allan H. Jolicoeur, Thierry Sodemann Villadiego, Inti A. |
| author_sort | Wu, Fengcheng |
| collection | MIT |
| description | We report on an exact diagonalization study of fractional quantum Hall states at a filling factor of ν = 2/3 in a system with a fourfold degenerate n = 0 Landau level and SU(4) symmetric Coulomb interactions. Our investigation reveals previously unidentified SU(3) and SU(4) singlet ground states which appear at a flux quantum shift 2 when a spherical geometry is employed and lie outside the established composite-fermion or multicomponent Halperin state patterns. We evaluate the two-particle correlation functions of these states and discuss quantum phase transitions in graphene between singlet states with a different number of components as the magnetic field strength is increased. |
| first_indexed | 2024-09-23T15:14:28Z |
| format | Article |
| id | mit-1721.1/99358 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:14:28Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/993582022-10-02T01:35:05Z SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3 Wu, Fengcheng MacDonald, Allan H. Jolicoeur, Thierry Sodemann Villadiego, Inti A. Massachusetts Institute of Technology. Department of Physics Sodemann Villadiego, Inti A. We report on an exact diagonalization study of fractional quantum Hall states at a filling factor of ν = 2/3 in a system with a fourfold degenerate n = 0 Landau level and SU(4) symmetric Coulomb interactions. Our investigation reveals previously unidentified SU(3) and SU(4) singlet ground states which appear at a flux quantum shift 2 when a spherical geometry is employed and lie outside the established composite-fermion or multicomponent Halperin state patterns. We evaluate the two-particle correlation functions of these states and discuss quantum phase transitions in graphene between singlet states with a different number of components as the magnetic field strength is increased. MIT Department of Physics Pappalardo Program (Fellowship) 2015-10-19T12:29:49Z 2015-10-19T12:29:49Z 2015-10 2015-08 2015-10-16T18:40:19Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/99358 Wu, Fengcheng, Inti Sodemann, Allan H. MacDonald, and Thierry Jolicoeur. “SU(3) and SU(4) Singlet Quantum Hall States at ν = 2/3.” Physical Review Letters 115, no. 16 (October 2015). © 2015 American Physical Society https://orcid.org/0000-0002-1824-5167 en http://dx.doi.org/10.1103/PhysRevLett.115.166805 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Wu, Fengcheng MacDonald, Allan H. Jolicoeur, Thierry Sodemann Villadiego, Inti A. SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3 |
| title | SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3 |
| title_full | SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3 |
| title_fullStr | SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3 |
| title_full_unstemmed | SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3 |
| title_short | SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3 |
| title_sort | su 3 and su 4 singlet quantum hall states at v 2 3 |
| url | http://hdl.handle.net/1721.1/99358 https://orcid.org/0000-0002-1824-5167 |
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