Second-order topological non-Hermitian skin effects

Ryo Okugawa, Ryo Takahashi, Kazuki Yokomizo

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


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.

Original languageEnglish
Article number241202
JournalPhysical Review B
Issue number24
Publication statusPublished - 2020 Dec 16

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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