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Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics

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Title
Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
Author(s)
Jong Yeon Lee; Junyeong Ahn; Hengyun Zhou; Ashvin Vishwanath
Publication Date
2019-11
Journal
PHYSICAL REVIEW LETTERS, v.123, no.20, pp.206404 -
Publisher
AMER PHYSICAL SOC
Abstract
The hallmark of symmetry-protected topological phases is the existence of anomalous boundary states, which can only be realized with the corresponding bulk system. In this work, we show that for every Hermitian anomalous boundary mode of the ten Altland-Zirnbauer classes, a non-Hermitian counterpart can be constructed, whose long-time dynamics provides a realization of the anomalous boundary state. We prove that the non-Hermitian counterpart is characterized by a point-gap topological invariant, and furthermore, that the invariant exactly matches that of the corresponding Hermitian anomalous boundary mode. We thus establish a correspondence between the topological classifications of (d + 1)-dimensional gapped Hermitian systems and d-dimensional point-gapped non-Hermitian systems. We illustrate this general result with a number of examples in different dimensions. This work provides a new perspective on point-gap topological invariants in non-Hermitian systems. © 2019 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/6957
ISSN
0031-9007
Appears in Collections:
Center for Correlated Electron Systems(강상관계 물질 연구단) > Journal Papers (저널논문)
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