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Quantum Monte Carlo study of strange correlator in interacting topological insulators | Han-Qing Wu
; Yuan-Yao He
; Yi-Zhuang You
; Cenke Xu
; Zi Yang Meng
; Zhong-Yi Lu
; | Date: |
1 Jun 2015 | Abstract: | Distinguishing nontrivial symmetry protected topological (SPT) phase from
trivial insulator in the presence of electron interaction is an urgent question
to the study of topological insulators, due to the fact that most of the
topological indices defined for free electron systems are no longer applicable
with interaction. In this work, we demonstrate that the strange correlator is a
sensitive diagnosis to detect SPT states in interacting systems. Employing
large-scale quantum Monte Carlo (QMC) simulations, we investigate the
interaction driven quantum phase transition in the Kane-Mele-Hubbard model. The
transition from quantum spin Hall insulator at weak interaction to
antiferromagnetic Mott insulator at strong interaction can be readily detected
by the momentum space behavior of the strange correlator in single particle,
spin, and pairing channels. The interaction effects on the symmetry protected
edge states in various channels, i.e., the Luttinger liquid behavior, are well
captured in the QMC measurements of strange correlators. Moreover, we
demonstrate that the strange correlator is technically much easier to implement
in QMC and much robuster in performance than other proposed numerical diagnoses
for interacting SPT states, as only static correlations are needed. The attempt
in this work paves the way for using the strange correlator to study
interaction driven topological phase transitions in fermionic as well as
bosonic systems. | Source: | arXiv, 1506.0549 | Services: | Forum | Review | PDF | Favorites |
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