Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros
A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the way ideal ground-state wave functions go to zero as various clusters of electrons are brought together. In this paper, we generalize this approach to classify multilayer F...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/61746 https://orcid.org/0000-0002-5874-581X |
| _version_ | 1826216397554843648 |
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| author | Barkeshli, Maissam Wen, Xiao-Gang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Barkeshli, Maissam Wen, Xiao-Gang |
| author_sort | Barkeshli, Maissam |
| collection | MIT |
| description | A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the way ideal ground-state wave functions go to zero as various clusters of electrons are brought together. In this paper, we generalize this approach to classify multilayer FQH states. Such a classification leads to the construction of a class of non-Abelian multilayer FQH states that are closely related to ĝk parafermion conformal field theories, where ĝk [g superscript k] is an affine simple Lie algebra. We discuss the possibility of some of the simplest of these non-Abelian states occurring in experiments on bilayer FQH systems at ν=2/3, 4/5, 4/7, etc. |
| first_indexed | 2024-09-23T16:47:00Z |
| format | Article |
| id | mit-1721.1/61746 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:47:00Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/617462022-09-29T21:27:25Z Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros Barkeshli, Maissam Wen, Xiao-Gang Massachusetts Institute of Technology. Department of Physics Wen, Xiao-Gang Barkeshli, Maissam Wen, Xiao-Gang A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the way ideal ground-state wave functions go to zero as various clusters of electrons are brought together. In this paper, we generalize this approach to classify multilayer FQH states. Such a classification leads to the construction of a class of non-Abelian multilayer FQH states that are closely related to ĝk parafermion conformal field theories, where ĝk [g superscript k] is an affine simple Lie algebra. We discuss the possibility of some of the simplest of these non-Abelian states occurring in experiments on bilayer FQH systems at ν=2/3, 4/5, 4/7, etc. National Science Foundation (U.S.) (Grant no. DMR-0706078) 2011-03-18T21:20:09Z 2011-03-18T21:20:09Z 2010-12 2010-07 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/61746 Barkeshli, Maissam, and Xiao-Gang Wen. “Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros.” Physical Review B 82.24 (2010): n. pag. © 2010 The American Physical Society https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1103/PhysRevB.82.245301 Physical review B 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. application/pdf American Physical Society APS |
| spellingShingle | Barkeshli, Maissam Wen, Xiao-Gang Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros |
| title | Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros |
| title_full | Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros |
| title_fullStr | Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros |
| title_full_unstemmed | Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros |
| title_short | Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros |
| title_sort | classification of abelian and non abelian multilayer fractional quantum hall states through the pattern of zeros |
| url | http://hdl.handle.net/1721.1/61746 https://orcid.org/0000-0002-5874-581X |
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