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Title: Helical Liquid and the Edge of Quantum Spin Hall Systems

Abstract

The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the 'helical liquid,' where the spin orientation is determined by the direction of electron motion. We prove a no-go theorem which states that a helical liquid with an odd number of components cannot be constructed in a purely 1D lattice system. In a helical liquid with an odd number of components, a uniform gap in the ground state can appear when the time-reversal symmetry is spontaneously broken by interactions. On the other hand, a correlated two-particle backscattering term by an impurity can become relevant while keeping the time-reversal invariance.

Authors:
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
973054
Report Number(s):
SLAC-REPRINT-2010-054
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US201006%%270
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 96; Journal Issue: 10; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BACKSCATTERING; ELECTRONS; GROUND STATES; SPIN; SPIN ORIENTATION; SYMMETRY; T INVARIANCE; MATSCI

Citation Formats

Wu, C. Helical Liquid and the Edge of Quantum Spin Hall Systems. United States: N. p., 2010. Web.
Wu, C. Helical Liquid and the Edge of Quantum Spin Hall Systems. United States.
Wu, C. Tue . "Helical Liquid and the Edge of Quantum Spin Hall Systems". United States.
@article{osti_973054,
title = {Helical Liquid and the Edge of Quantum Spin Hall Systems},
author = {Wu, C.},
abstractNote = {The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the 'helical liquid,' where the spin orientation is determined by the direction of electron motion. We prove a no-go theorem which states that a helical liquid with an odd number of components cannot be constructed in a purely 1D lattice system. In a helical liquid with an odd number of components, a uniform gap in the ground state can appear when the time-reversal symmetry is spontaneously broken by interactions. On the other hand, a correlated two-particle backscattering term by an impurity can become relevant while keeping the time-reversal invariance.},
doi = {},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 10,
volume = 96,
place = {United States},
year = {2010},
month = {3}
}