Effective field theory of fractional quantized Hall nematics
We present a Landau-Ginzburg theory for a fractional quantized Hall nematic state and the transition to it from an isotropic fractional quantum Hall state. This justifies Lifshitz-Chern-Simons theory—which is shown to be its dual—on a more microscopic basis and enables us to compute a ground-state w...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society (APS)
2012
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| Online Access: | http://hdl.handle.net/1721.1/69576 |
| _version_ | 1811087788671500288 |
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| author | Mulligan, Michael Nayak, Chetan Kachru, Shamit |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Mulligan, Michael Nayak, Chetan Kachru, Shamit |
| author_sort | Mulligan, Michael |
| collection | MIT |
| description | We present a Landau-Ginzburg theory for a fractional quantized Hall nematic state and the transition to it from an isotropic fractional quantum Hall state. This justifies Lifshitz-Chern-Simons theory—which is shown to be its dual—on a more microscopic basis and enables us to compute a ground-state wave function in the symmetry-broken phase. In such a state of matter, the Hall resistance remains quantized while the longitudinal dc resistivity due to thermally excited quasiparticles is anisotropic. We interpret recent experiments at Landau-level filling factor ν=7/3 in terms of our theory. |
| first_indexed | 2024-09-23T13:51:59Z |
| format | Article |
| id | mit-1721.1/69576 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:51:59Z |
| publishDate | 2012 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/695762022-10-01T17:37:00Z Effective field theory of fractional quantized Hall nematics Mulligan, Michael Nayak, Chetan Kachru, Shamit Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Mulligan, Michael Mulligan, Michael We present a Landau-Ginzburg theory for a fractional quantized Hall nematic state and the transition to it from an isotropic fractional quantum Hall state. This justifies Lifshitz-Chern-Simons theory—which is shown to be its dual—on a more microscopic basis and enables us to compute a ground-state wave function in the symmetry-broken phase. In such a state of matter, the Hall resistance remains quantized while the longitudinal dc resistivity due to thermally excited quasiparticles is anisotropic. We interpret recent experiments at Landau-level filling factor ν=7/3 in terms of our theory. United States. Defense Advanced Research Projects Agency. Quantum Entanglement Science and Technology United States. Dept. of Energy (Cooperative Research Agreement No. DE-FG0205ER41360) 2012-03-02T19:30:14Z 2012-03-02T19:30:14Z 2011-11 2011-11 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/69576 Mulligan, Michael, Chetan Nayak, and Shamit Kachru. “Effective Field Theory of Fractional Quantized Hall Nematics.” Physical Review B 84.19 (2011): n. pag. Web. 2 Mar. 2012. © 2011 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevB.84.195124 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) APS |
| spellingShingle | Mulligan, Michael Nayak, Chetan Kachru, Shamit Effective field theory of fractional quantized Hall nematics |
| title | Effective field theory of fractional quantized Hall nematics |
| title_full | Effective field theory of fractional quantized Hall nematics |
| title_fullStr | Effective field theory of fractional quantized Hall nematics |
| title_full_unstemmed | Effective field theory of fractional quantized Hall nematics |
| title_short | Effective field theory of fractional quantized Hall nematics |
| title_sort | effective field theory of fractional quantized hall nematics |
| url | http://hdl.handle.net/1721.1/69576 |
| work_keys_str_mv | AT mulliganmichael effectivefieldtheoryoffractionalquantizedhallnematics AT nayakchetan effectivefieldtheoryoffractionalquantizedhallnematics AT kachrushamit effectivefieldtheoryoffractionalquantizedhallnematics |