Non-Hermitian band topology with generalized inversion symmetry

Ryo Okugawa, Ryo Takahashi, Kazuki Yokomizo

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Non-Hermitian skin effects and exceptional points are topological phenomena characterized by integer winding numbers. In this study, we give methods to theoretically detect skin effects and exceptional points by generalizing inversion symmetry. The generalization of inversion symmetry is unique to non-Hermitian systems. We show that parities of the winding numbers can be determined from energy eigenvalues on the inversion-invariant momenta when generalized inversion symmetry is present. The simple expressions for the winding numbers allow us to easily analyze skin effects and exceptional points in non-Hermitian bands. We also demonstrate the methods for (second-order) skin effects and exceptional points by using lattice models.

Original languageEnglish
Article number205205
JournalPhysical Review B
Volume103
Issue number20
DOIs
Publication statusPublished - 2021 May 21

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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