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Article: Topological invariants for interacting topological insulators. I. Efficient numerical evaluation scheme and implementations

TitleTopological invariants for interacting topological insulators. I. Efficient numerical evaluation scheme and implementations
Authors
Issue Date2016
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B: covering condensed matter and materials physics, 2016, v. 93 n. 19, article no. 195163 How to Cite?
Abstract© 2016 American Physical Society. The aim of this series of two papers is to discuss topological invariants for interacting topological insulators (TIs). In the first paper (I), we provide a paradigm of efficient numerical evaluation scheme for topological invariants, in which we demystify the procedures and techniques employed in calculating Z2 invariant and spin Chern number via zero-frequency single-particle Green's function in quantum Monte Carlo (QMC) simulations. Here we introduce an interpolation process to overcome the ubiquitous finite-size effect, so that the calculated spin Chern number shows ideally quantized values. We also show that making use of symmetry properties of the underlying systems can greatly reduce the computational effort. To demonstrate the effectiveness of our numerical evaluation scheme, especially the interpolation process, for calculating topological invariants, we apply it on two independent two-dimensional models of interacting topological insulators. In the subsequent paper (II), we apply the scheme developed here to wider classes of models of interacting topological insulators, for which certain limitation of constructing topological invariant via single-particle Green's functions will be presented.
Persistent Identifierhttp://hdl.handle.net/10722/268477
ISSN
2023 Impact Factor: 3.2
2023 SCImago Journal Rankings: 1.345
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorHe, Yuan Yao-
dc.contributor.authorWu, Han Qing-
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.issued2016-
dc.identifier.citationPhysical Review B: covering condensed matter and materials physics, 2016, v. 93 n. 19, article no. 195163-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/268477-
dc.description.abstract© 2016 American Physical Society. The aim of this series of two papers is to discuss topological invariants for interacting topological insulators (TIs). In the first paper (I), we provide a paradigm of efficient numerical evaluation scheme for topological invariants, in which we demystify the procedures and techniques employed in calculating Z2 invariant and spin Chern number via zero-frequency single-particle Green's function in quantum Monte Carlo (QMC) simulations. Here we introduce an interpolation process to overcome the ubiquitous finite-size effect, so that the calculated spin Chern number shows ideally quantized values. We also show that making use of symmetry properties of the underlying systems can greatly reduce the computational effort. To demonstrate the effectiveness of our numerical evaluation scheme, especially the interpolation process, for calculating topological invariants, we apply it on two independent two-dimensional models of interacting topological insulators. In the subsequent paper (II), we apply the scheme developed here to wider classes of models of interacting topological insulators, for which certain limitation of constructing topological invariant via single-particle Green's functions will be presented.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B: covering condensed matter and materials physics-
dc.titleTopological invariants for interacting topological insulators. I. Efficient numerical evaluation scheme and implementations-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevB.93.195163-
dc.identifier.scopuseid_2-s2.0-84971501095-
dc.identifier.volume93-
dc.identifier.issue19-
dc.identifier.spagearticle no. 195163-
dc.identifier.epagearticle no. 195163-
dc.identifier.eissn2469-9969-
dc.identifier.isiWOS:000376920400004-
dc.identifier.issnl2469-9950-

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