Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
Abstract
We investigate the stability of a quadratic bandcrossing point (QBCP) in 2D fermionic systems. At the noninteracting level, we show that a QBCP exists and is topologically stable for a Berry flux +2pi if the point symmetry group has either fourfold or sixfold rotational symmetries. This putative topologically stable freefermion QBCP is marginally unstable to arbitrarily weak shortrange repulsive interactions. We consider both spinless and spin1/2 fermions. Four possible ordered states result: a quantum anomalous Hall phase, a quantum spin Hall phase, a nematic phase, and a nematicspinnematic phase.
 Authors:

 Department of Physics, University of Illinois at UrbanaChampaign, 1110 West Green Street, Urbana, Illinois 618013080 (United States)
 Department of Physics, Stanford University, Stanford, California 94305 (United States)
 Publication Date:
 OSTI Identifier:
 21347093
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 103; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevLett.103.046811; (c) 2009 The American Physical Society; Journal ID: ISSN 00319007
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FERMIONS; INTERACTIONS; SPIN; STABILITY; SYMMETRY; SYMMETRY BREAKING; SYMMETRY GROUPS; TOPOLOGY; ANGULAR MOMENTUM; MATHEMATICS; PARTICLE PROPERTIES
Citation Formats
Kai, Sun, Fradkin, Eduardo, Hong, Yao, and Kivelson, Steven A. Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVLETT.103.046811.
Kai, Sun, Fradkin, Eduardo, Hong, Yao, & Kivelson, Steven A. Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing. United States. doi:10.1103/PHYSREVLETT.103.046811.
Kai, Sun, Fradkin, Eduardo, Hong, Yao, and Kivelson, Steven A. Fri .
"Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing". United States. doi:10.1103/PHYSREVLETT.103.046811.
@article{osti_21347093,
title = {Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing},
author = {Kai, Sun and Fradkin, Eduardo and Hong, Yao and Kivelson, Steven A},
abstractNote = {We investigate the stability of a quadratic bandcrossing point (QBCP) in 2D fermionic systems. At the noninteracting level, we show that a QBCP exists and is topologically stable for a Berry flux +2pi if the point symmetry group has either fourfold or sixfold rotational symmetries. This putative topologically stable freefermion QBCP is marginally unstable to arbitrarily weak shortrange repulsive interactions. We consider both spinless and spin1/2 fermions. Four possible ordered states result: a quantum anomalous Hall phase, a quantum spin Hall phase, a nematic phase, and a nematicspinnematic phase.},
doi = {10.1103/PHYSREVLETT.103.046811},
journal = {Physical Review Letters},
issn = {00319007},
number = 4,
volume = 103,
place = {United States},
year = {2009},
month = {7}
}
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