Selective bulk-boundary correspondence in higher-order topological insulators with anticommuting mirror and chiral symmetries
Year: 2025
Type: preprint
Abstract: We investigate higher-order topological insulators protected by chiral and anticommuting mirror symmetries. Using models in the BDI class, which include the prototypical topological quadrupole insulator, we show that breaking mirror symmetries that anticommute with the chiral operator leads to edge-selective bulk-boundary correspondence, with gap closings and bound states appearing only along a subset of boundaries of the same orientation and codimension. We define a new edge-sensitive topological invariant that distinguishes this mechanism from previous reports of non-topological edge-selection effects.
Source: arXiv (Cornell University)
DOI: 10.1103/8131-lbc3
Authors: Aich, Suman, Seradjeh, Babak
Institutions: Indiana University Bloomington, Indiana University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083843929
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