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Second-order topological non-Hermitian skin effects

Ryo Okugawa, Ryo Takahashi, and Kazuki Yokomizo
Phys. Rev. B 102, 241202(R) – Published 16 December 2020
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Abstract

Higher-order topology realizes topologically robust corner modes as a manifestation of nontriviality. We theoretically propose non-Hermitian skin effects which stem from the second-order topology of chiral-symmetric Hermitian systems. It is found that the skin modes are localized at the corners. We demonstrate two types of second-order topological skin effects by two-dimensional intrinsic and extrinsic second-order topology. The intrinsic second-order topological skin effect is characterized topologically by bulk inversion symmetry as well as chiral symmetry. Meanwhile, the extrinsic second-order topological skin effect occurs from the topological correspondence between the edges and corners. We show that non-Hermitian skin modes emerge by using a relationship between second-order and conventional first-order topology.

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  • Received 9 August 2020
  • Accepted 25 November 2020

DOI:https://doi.org/10.1103/PhysRevB.102.241202

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Ryo Okugawa1, Ryo Takahashi2, and Kazuki Yokomizo2

  • 1Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan
  • 2Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan

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Issue

Vol. 102, Iss. 24 — 15 December 2020

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