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Commuting-projector Hamiltonians for two-dimensional topological insulators: Edge physics and many-body invariants

Son, Jun Ho and Alicea, Jason (2019) Commuting-projector Hamiltonians for two-dimensional topological insulators: Edge physics and many-body invariants. Physical Review B, 100 (15). Art. No. 155107. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20191004-085117901

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Abstract

Inspired by a recently constructed commuting-projector Hamiltonian for a two-dimensional (2D) time-reversal-invariant topological superconductor [Z. Wang et al., Phys. Rev. B 98, 094502 (2018)], we introduce a commuting-projector model that describes an interacting yet exactly solvable 2D topological insulator. We explicitly show that both the gapped and gapless boundaries of our model are consistent with those of band-theoretic, weakly interacting topological insulators. Interestingly, on certain lattices our time-reversal-symmetric models also enjoy CP symmetry, leading to intuitive interpretations of the bulk invariant for a CP-symmetric topological insulator upon putting the system on a Klein bottle. We also briefly discuss how these many-body invariants may be able to characterize models with only time-reversal symmetry.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.100.155107DOIArticle
https://arxiv.org/abs/1906.11846arXivDiscussion Paper
ORCID:
AuthorORCID
Alicea, Jason0000-0001-9979-3423
Alternate Title:Commuting-projector Hamiltonians for 2D topological insulators: edge physics and many-body invariants
Additional Information:© 2019 American Physical Society. Received 16 July 2019; published 4 October 2019. We thank X. Chen, G. Y. Cho, L. Fidkowski, S. Ryu, X.-Q. Sun, and Z. Wang for helpful discussions. This work was supported by the Army Research Office under Grant Award No. W911NF-17-1-0323; the NSF through Grant No. DMR-1723367; the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; and the Walter Burke Institute for Theoretical Physics at Caltech.
Group:UNSPECIFIED, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-17-1-0323
NSFDMR-1723367
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:15
Record Number:CaltechAUTHORS:20191004-085117901
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20191004-085117901
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99067
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Oct 2019 16:28
Last Modified:04 Jun 2020 10:14

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