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. doi:10.1103/physrevb.100.155107. 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 | ||||||||||||
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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: | Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics | ||||||||||||
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Issue or Number: | 15 | ||||||||||||
DOI: | 10.1103/physrevb.100.155107 | ||||||||||||
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: | 16 Nov 2021 17:43 |
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