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Title: Nature of Continuous Phase Transitions in Interacting Topological Insulators

Here, we revisit the effects of the Hubbard repulsion on quantum spin Hall effects (QSHE) in two-dimensional quantum lattice models. We present both unbiased exact diagonalization and density-matrix renormalization group simulations with numerical evidence for a continuous quantum phase transition (CQPT) separating QSHE from the topologically trivial antiferromagnetic phase. Our numerical results suggest that the nature of CQPT exhibits distinct finite-size scaling behaviors, which may be consistent with either Ising or XY universality classes for different time-reversal symmetric QSHE systems.
Authors:
 [1] ; ORCiD logo [2] ; ORCiD logo [2] ;  [1]
  1. California State Univ. (CalState), Northridge, CA (United States). Dept. of Physics and Astronomy
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-26330
Journal ID: ISSN 2469-9950; TRN: US1800897
Grant/Contract Number:
AC52-06NA25396; DMR-1205734; DMR-1408560
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 19; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Material Science; Antiferromagnetism; Quantum spin Hall effect
OSTI Identifier:
1416285
Alternate Identifier(s):
OSTI ID: 1408066

Zeng, Tian-sheng, Zhu, Wei, Zhu, Jianxin, and Sheng, Donna N. Nature of Continuous Phase Transitions in Interacting Topological Insulators. United States: N. p., Web. doi:10.1103/PhysRevB.96.195118.
Zeng, Tian-sheng, Zhu, Wei, Zhu, Jianxin, & Sheng, Donna N. Nature of Continuous Phase Transitions in Interacting Topological Insulators. United States. doi:10.1103/PhysRevB.96.195118.
Zeng, Tian-sheng, Zhu, Wei, Zhu, Jianxin, and Sheng, Donna N. 2017. "Nature of Continuous Phase Transitions in Interacting Topological Insulators". United States. doi:10.1103/PhysRevB.96.195118. https://www.osti.gov/servlets/purl/1416285.
@article{osti_1416285,
title = {Nature of Continuous Phase Transitions in Interacting Topological Insulators},
author = {Zeng, Tian-sheng and Zhu, Wei and Zhu, Jianxin and Sheng, Donna N.},
abstractNote = {Here, we revisit the effects of the Hubbard repulsion on quantum spin Hall effects (QSHE) in two-dimensional quantum lattice models. We present both unbiased exact diagonalization and density-matrix renormalization group simulations with numerical evidence for a continuous quantum phase transition (CQPT) separating QSHE from the topologically trivial antiferromagnetic phase. Our numerical results suggest that the nature of CQPT exhibits distinct finite-size scaling behaviors, which may be consistent with either Ising or XY universality classes for different time-reversal symmetric QSHE systems.},
doi = {10.1103/PhysRevB.96.195118},
journal = {Physical Review B},
number = 19,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}

Works referenced in this record:

Z2 Topological Order and the Quantum Spin Hall Effect
journal, September 2005