Classification of intrinsic non-Hermitian topology

量子物理学・ナノサイエンス第69回特別セミナー

概要

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. In this talk, I show that the skin effect originates from intrinsic non-Hermitian topology, by using the bulk-boundary correspondence of the equivalent Hermitian system. I also discuss a non-Hermitian counterpart of topological insulators/superconductors --- symmetry-protected skin effects. In particular, we discovered the Z₂ skin effect protected by time-reversal symmetry in one and two space dimensions [1]. We also categorized which　 non-Hermitian topological phases are intrinsic to non-Hermitian systems for any space dimensions and any internal symmetry [1,2].

• [1] Nobuyuki Okuma, Kohei Kawabata, Ken Shiozaki, Masatoshi Sato, arXiv:1910.02878.
• [2] Ken Shiozaki, in preparation.(2008).

• 量子物理学・ナノサイエンス第69回特別セミナー

• 量子物理学・ナノサイエンス先端研究センター 主催
• 東京工業大学理学院・物理学系 共催