Nature of Continuous Phase Transitions in Interacting Topological Insulators

Zeng, Tian-sheng; Zhu, Wei; Zhu, Jianxin; Sheng, Donna N.

doi:10.1103/PhysRevB.96.195118

Title: Nature of Continuous Phase Transitions in Interacting Topological Insulators

Journal Article · Wed Nov 08 00:00:00 EST 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.96.195118· OSTI ID:1416285

Zeng, Tian-sheng ^[1];

^[2];

^[2]; Sheng, Donna N. ^[1]

California State Univ. (CalState), Northridge, CA (United States). Dept. of Physics and Astronomy
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: AC52-06NA25396; DMR-1205734; DMR-1408560

OSTI ID:: 1416285

Alternate ID(s):: OSTI ID: 1408066

Report Number(s):: LA-UR-17-26330; TRN: US1800897

Journal Information:: Physical Review B, Vol. 96, Issue 19; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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