Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N17: Topology in New Settings: Non-Hermitian and Beyond
11:30 AM–2:18 PM,
Wednesday, March 6, 2024
Room: M100H
Sponsoring
Unit:
DCMP
Chair: Saavanth Velury, University of Illinois at Urbana-Champaign
Abstract: N17.00013 : A variant of bulk-boundary correspondence in topological phases in AZ+I classification*
1:54 PM–2:06 PM
Presenter:
Ryo Takahashi
(Tohoku University, Sendai)
Authors:
Ryo Takahashi
(Tohoku University, Sendai)
Tomoki Ozawa
(Tohoku University)
In this presentation, we reveal the extension of such "bulk-boundary correspondence" to topological phases of the AZ+I classification, which is an extension of the AZ classification by replacing time reversal T and particle-hole symmetry C with PT and PC, respectively. We focus on the fact that the entanglement Hamiltonian always has an anti-symmetry Ξ. By combining the PT and PC operations with Ξ, we show that symmetries of the AZ+I classification are recovered in the entanglement Hamiltonian. As a result, the entanglement spectrum for topological insulators in the AZ+I classification becomes gapless, and a variant of “bulk-boundary correspondence” holds.
[1] R. Takahashi and T. Ozawa, Phys. Rev. B 108, 075129 (2023).
*JSPS KAKENHI Grant Number JP20H01845, JST PRESTO Grant No. JPMJPR2353, JST CREST Grant Number JPMJCR19T1
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