Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States
We find a series of possible continuous quantum phase transitions between fractional quantum Hall states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin...
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| 语言: | en_US |
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American Physical Society
2011
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| 在线阅读: | http://hdl.handle.net/1721.1/64442 https://orcid.org/0000-0002-5874-581X |
| _version_ | 1826215311271002112 |
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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 | We find a series of possible continuous quantum phase transitions between fractional quantum Hall states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin (p,p,p-3) Abelian two-component state, while the other side is the non-Abelian Z4 parafermion (Read-Rezayi) state. We predict that the transition is a continuous transition in the 3D Ising class. The critical point is described by a Z2 gauged Ginzburg-Landau theory. These results have implications for experiments on two-component systems at ν=2/3 and single-component systems at ν=8/3. |
| first_indexed | 2024-09-23T16:23:04Z |
| format | Article |
| id | mit-1721.1/64442 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:23:04Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/644422022-09-29T19:43:28Z Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States Barkeshli, Maissam Wen, Xiao-Gang Massachusetts Institute of Technology. Department of Physics Wen, Xiao-Gang Wen, Xiao-Gang Barkeshli, Maissam We find a series of possible continuous quantum phase transitions between fractional quantum Hall states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin (p,p,p-3) Abelian two-component state, while the other side is the non-Abelian Z4 parafermion (Read-Rezayi) state. We predict that the transition is a continuous transition in the 3D Ising class. The critical point is described by a Z2 gauged Ginzburg-Landau theory. These results have implications for experiments on two-component systems at ν=2/3 and single-component systems at ν=8/3. National Science Foundation (U.S.) (NSF Grant No. DMR- 0706078) 2011-06-15T15:50:41Z 2011-06-15T15:50:41Z 2010-11 2010-05 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/64442 Barkeshli, Maissam and Xiao-Gang Wen. "Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States." Phys. Rev. Lett. 105, 216804 (2010) [4 pages] © 2010 The American Physical Society https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1103/PhysRevLett.105.216804 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. application/pdf American Physical Society APS |
| spellingShingle | Barkeshli, Maissam Wen, Xiao-Gang Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States |
| title | Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States |
| title_full | Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States |
| title_fullStr | Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States |
| title_full_unstemmed | Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States |
| title_short | Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States |
| title_sort | anyon condensation and continuous topological phase transitions in non abelian fractional quantum hall states |
| url | http://hdl.handle.net/1721.1/64442 https://orcid.org/0000-0002-5874-581X |
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