Bulkentanglementspectrum correspondence in $PT$ and $PC$symmetric topological insulators
Abstract
In this study, we discuss a new type of bulkboundary correspondence which holds for topological insulators when the paritytime ($PT$) and/or parityparticlehole ($PC$) symmetry are present. In these systems, even when the bulk topology is nontrivial, the edge spectrum is generally gapped, and thus the conventional bulkboundary correspondence does not hold. We find that, instead of the edge spectrum, the singleparticle entanglement spectrum becomes gapless when the bulk topology is nontrivial: i.e., the {\it bulkentanglementspectrum correspondence} holds in $PT$ and/or $PC$symmetric topological insulators. 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 manybody entanglement spectrum is multiply degenerate in one dimension and is gapless in two or higher dimensions.
 Publication:

arXiv eprints
 Pub Date:
 March 2024
 DOI:
 10.48550/arXiv.2403.18372
 arXiv:
 arXiv:2403.18372
 Bibcode:
 2024arXiv240318372T
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 21 pages, 9 figures