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Bulk-entanglement spectrum correspondence in $PT$- and $PC$-symmetric topological insulators and superconductors by Takahashi, Ryo; Ozawa, Tomoki is a scholarly article available to read on EtoBox.

What is Bulk-entanglement spectrum correspondence in $PT$- and $PC$-symmetric topological insulators and superconductors about?

In this study, we discuss a new type of bulk-boundary correspondence which holds for topological insulators and superconductors when the parity-time ($PT$) and/or parity-particle-hole ($PC$) symmetry are present. In these systems, even when the bulk topology is nontrivial, the edge spectrum is generally gapped, and thus the conventional bulk-boundary correspondence does not hold. We find that, instead of the edge spectrum, the single-particle entanglement spectrum becomes gapless when the bulk topology is nontrivial: i.e., the $\textit{bulk-entanglement}$ $\textit{spectrum}$ $\textit{correspondence}$ holds in $PT$- and/or $PC$-symmetric topological insulators and superconductors. After showing the correspondence using $K$-theoretic approach, we provide concrete models for each symmetry class up to three dimensions where nontrivial topology due to $PT$ and/or $PC$ is expected. An implication of our results is that, when the bulk topology under $PT$ and/or $PC$ symmetry is nontrivial, the non-interacting many-body entanglement spectrum is multiply degenerate in one dimension and is gapless in two or higher dimensions.

Author

Takahashi, Ryo; Ozawa, Tomoki

Published

2024

Language

EN