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Article: Quantum Monte Carlo study of strange correlator in interacting topological insulators

TitleQuantum Monte Carlo study of strange correlator in interacting topological insulators
Authors
Issue Date2015
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B (Condensed Matter and Materials Physics), 2015, v. 92 n. 16, article no. 165123 How to Cite?
Abstract© 2015 American Physical Society. Distinguishing the nontrivial symmetry-protected topological (SPT) phase from the trivial insulator phase in the presence of electron-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 very likely unsuitable for interacting cases. 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 the quantum spin Hall insulator at weak interaction to an 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 sectors. The interaction effects on the symmetry-protected edge states in various sectors, i.e., the helical Luttinger liquid behavior, are well captured in the QMC measurements of strange correlators. Moreover, we demonstrate that the strange correlator is technically easier to implement in QMC and more robust in performance than other proposed numerical diagnoses for interacting topological 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.
Persistent Identifierhttp://hdl.handle.net/10722/268475
ISSN
2014 Impact Factor: 3.736
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWu, Han Qing-
dc.contributor.authorHe, Yuan Yao-
dc.contributor.authorYou, Yi Zhuang-
dc.contributor.authorXu, Cenke-
dc.contributor.authorMeng, Zi Yang-
dc.contributor.authorLu, Zhong Yi-
dc.date.accessioned2019-03-25T07:59:47Z-
dc.date.available2019-03-25T07:59:47Z-
dc.date.issued2015-
dc.identifier.citationPhysical Review B (Condensed Matter and Materials Physics), 2015, v. 92 n. 16, article no. 165123-
dc.identifier.issn1098-0121-
dc.identifier.urihttp://hdl.handle.net/10722/268475-
dc.description.abstract© 2015 American Physical Society. Distinguishing the nontrivial symmetry-protected topological (SPT) phase from the trivial insulator phase in the presence of electron-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 very likely unsuitable for interacting cases. 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 the quantum spin Hall insulator at weak interaction to an 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 sectors. The interaction effects on the symmetry-protected edge states in various sectors, i.e., the helical Luttinger liquid behavior, are well captured in the QMC measurements of strange correlators. Moreover, we demonstrate that the strange correlator is technically easier to implement in QMC and more robust in performance than other proposed numerical diagnoses for interacting topological 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.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B (Condensed Matter and Materials Physics)-
dc.titleQuantum Monte Carlo study of strange correlator in interacting topological insulators-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevB.92.165123-
dc.identifier.scopuseid_2-s2.0-84944750091-
dc.identifier.volume92-
dc.identifier.issue16-
dc.identifier.spagearticle no. 165123-
dc.identifier.epagearticle no. 165123-
dc.identifier.eissn1550-235X-
dc.identifier.isiWOS:000363235800003-
dc.identifier.issnl1098-0121-

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