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:
-
- California State Univ. (CalState), Northridge, CA (United States). Dept. of Physics and Astronomy
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (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. https://doi.org/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. https://doi.org/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 = {Wed Nov 08 00:00:00 EST 2017},
month = {Wed Nov 08 00:00:00 EST 2017}
}
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