Bulk-boundary correspondence in point-gap topological phases

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.

Accepted version: the style is slightly different from the published version for Physical Review Letters, but the physics is the same. [9+29 pages, 3+5 figures, 4+13 tables]

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Cited by in corpus (26)

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• Non-Hermitian Mott Skin Effect
• Non-Hermitian Topology in Hermitian Topological Matter
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