Dual Dirac Liquid on the Surface of the Electron Topological Insulator
We discuss a non-Fermi liquid gapless metallic surface state of the topological band insulator. It has an odd number of gapless Dirac fermions coupled to a noncompact U(1) gauge field. This can be viewed as a vortex dual to the conventional Dirac fermion surface state. This surface duality is a refl...
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American Physical Society
2015
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Online Access: | http://hdl.handle.net/1721.1/100019 https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7004-9609 |
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author | Wang, Chong Todadri, Senthil |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Wang, Chong Todadri, Senthil |
author_sort | Wang, Chong |
collection | MIT |
description | We discuss a non-Fermi liquid gapless metallic surface state of the topological band insulator. It has an odd number of gapless Dirac fermions coupled to a noncompact U(1) gauge field. This can be viewed as a vortex dual to the conventional Dirac fermion surface state. This surface duality is a reflection of a bulk dual description discussed recently for the gauged topological insulator. All the other known surface states can be conveniently accessed from the dual Dirac liquid, including the surface quantum Hall state, the Fu-Kane superconductor, the gapped symmetric topological order and the “composite Dirac liquid.” We also discuss the physical properties of the dual Dirac liquid and its connection to the half-filled Landau level. |
first_indexed | 2024-09-23T09:56:28Z |
format | Article |
id | mit-1721.1/100019 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T09:56:28Z |
publishDate | 2015 |
publisher | American Physical Society |
record_format | dspace |
spelling | mit-1721.1/1000192022-09-30T17:51:31Z Dual Dirac Liquid on the Surface of the Electron Topological Insulator Wang, Chong Todadri, Senthil Massachusetts Institute of Technology. Department of Physics Wang, Chong Todadri, Senthil We discuss a non-Fermi liquid gapless metallic surface state of the topological band insulator. It has an odd number of gapless Dirac fermions coupled to a noncompact U(1) gauge field. This can be viewed as a vortex dual to the conventional Dirac fermion surface state. This surface duality is a reflection of a bulk dual description discussed recently for the gauged topological insulator. All the other known surface states can be conveniently accessed from the dual Dirac liquid, including the surface quantum Hall state, the Fu-Kane superconductor, the gapped symmetric topological order and the “composite Dirac liquid.” We also discuss the physical properties of the dual Dirac liquid and its connection to the half-filled Landau level. National Science Foundation (U.S.) (Grant DMR-1305741) Simons Foundation (Investigator Grant) 2015-11-24T13:52:46Z 2015-11-24T13:52:46Z 2015-11 2015-06 2015-11-20T23:00:04Z Article http://purl.org/eprint/type/JournalArticle 2160-3308 http://hdl.handle.net/1721.1/100019 Wang, Chong, and T. Senthil. “Dual Dirac Liquid on the Surface of the Electron Topological Insulator.” Physical Review X 5, no. 4 (November 20, 2015). https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7004-9609 en http://dx.doi.org/10.1103/PhysRevX.5.041031 Physical Review X Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 authors application/pdf American Physical Society American Physical Society |
spellingShingle | Wang, Chong Todadri, Senthil Dual Dirac Liquid on the Surface of the Electron Topological Insulator |
title | Dual Dirac Liquid on the Surface of the Electron Topological Insulator |
title_full | Dual Dirac Liquid on the Surface of the Electron Topological Insulator |
title_fullStr | Dual Dirac Liquid on the Surface of the Electron Topological Insulator |
title_full_unstemmed | Dual Dirac Liquid on the Surface of the Electron Topological Insulator |
title_short | Dual Dirac Liquid on the Surface of the Electron Topological Insulator |
title_sort | dual dirac liquid on the surface of the electron topological insulator |
url | http://hdl.handle.net/1721.1/100019 https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7004-9609 |
work_keys_str_mv | AT wangchong dualdiracliquidonthesurfaceoftheelectrontopologicalinsulator AT todadrisenthil dualdiracliquidonthesurfaceoftheelectrontopologicalinsulator |