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Title: Nature of Continuous Phase Transitions in Interacting Topological Insulators

Abstract

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:
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); National Science Foundation (NSF)
OSTI Identifier:
1416285
Alternate Identifier(s):
OSTI ID: 1408066
Report Number(s):
LA-UR-17-26330
Journal ID: ISSN 2469-9950; TRN: US1800897
Grant/Contract Number:  
AC52-06NA25396; DMR-1205734; DMR-1408560
Resource 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)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Material Science; Antiferromagnetism; Quantum spin Hall effect

Citation Formats

Zeng, Tian-sheng, Zhu, Wei, Zhu, Jianxin, and Sheng, Donna N. Nature of Continuous Phase Transitions in Interacting Topological Insulators. United States: N. p., 2017. 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. Wed . "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}
}

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    Works referencing / citing this record:

    Interacting topological insulators: a review
    journal, October 2018


    Robustness of the topological quantization of the Hall conductivity for correlated lattice electrons at finite temperatures
    journal, September 2019


    Determining topological order from infinite projected entangled pair states
    journal, January 2020