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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Main Authors: Wang, Chong, Todadri, Senthil
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2015
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.
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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
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