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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Bulk-boundary correspondence in point-gap topological phases
(Submitted on 31 May 2022 (v1), last revised 29 Mar 2024 (this version, v4))
Abstract: A striking feature of non-Hermitian systems is the presence of two different types of topology. One generalizes Hermitian topological phases, and the other is intrinsic to non-Hermitian systems, which are called line-gap topology and point-gap topology, respectively. Whereas the bulk-boundary correspondence is a fundamental principle in the former topology, its role in the latter has not been clear yet. This Letter establishes the bulk-boundary correspondence in the point-gap topology in non-Hermitian systems. After revealing the requirement for point-gap topology in the open boundary conditions, we clarify that the bulk point-gap topology in open boundary conditions can be different from that in periodic boundary conditions. On the basis of real space topological invariants and the $K$-theory, we give a complete classification of the open boundary point-gap topology with symmetry and show that the nontrivial open boundary topology results in robust and exotic surface states.
Submission history
From: Daichi Nakamura [view email][v1] Tue, 31 May 2022 09:26:44 GMT (3132kb,D)
[v2] Wed, 22 Jun 2022 12:15:41 GMT (3651kb,D)
[v3] Thu, 28 Dec 2023 07:05:43 GMT (13440kb,D)
[v4] Fri, 29 Mar 2024 10:24:25 GMT (12756kb,D)
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