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Title: Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in

Abstract

We investigate the stability of a quadratic band-crossing point (QBCP) in 2D fermionic systems. At the non-interacting level, we show that a QBCP exists and is topologically stable for a Berry flux {-+}2{pi}, if the point symmetry group has either fourfold or sixfold rotational symmetries. This putative topologically stable free-fermion QBCP is marginally unstable to arbitrarily weak shortrange repulsive interactions. We consider both spinless and spin-1/2 fermions. Four possible ordered states result: a quantum anomalous Hall phase, a quantum spin Hall phase, a nematic phase, and a nematic-spin-nematic phase.

Authors:
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
981390
Report Number(s):
SLAC-PUB-14078
TRN: US1003922
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Journal Name:
Submitted to Physical Review Letters
Additional Journal Information:
Journal Name: Submitted to Physical Review Letters
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; INTERACTIONS; SPIN; STABILITY; SYMMETRY BREAKING; SYMMETRY GROUPS; MATSCI

Citation Formats

Sun, K. Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in. United States: N. p., 2010. Web.
Sun, K. Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in. United States.
Sun, K. Wed . "Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in". United States. https://www.osti.gov/servlets/purl/981390.
@article{osti_981390,
title = {Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in},
author = {Sun, K},
abstractNote = {We investigate the stability of a quadratic band-crossing point (QBCP) in 2D fermionic systems. At the non-interacting level, we show that a QBCP exists and is topologically stable for a Berry flux {-+}2{pi}, if the point symmetry group has either fourfold or sixfold rotational symmetries. This putative topologically stable free-fermion QBCP is marginally unstable to arbitrarily weak shortrange repulsive interactions. We consider both spinless and spin-1/2 fermions. Four possible ordered states result: a quantum anomalous Hall phase, a quantum spin Hall phase, a nematic phase, and a nematic-spin-nematic phase.},
doi = {},
journal = {Submitted to Physical Review Letters},
number = ,
volume = ,
place = {United States},
year = {2010},
month = {5}
}