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71 papers
Nonlinear Frequency-Momentum Topology and Doubling of Multifold Exceptional Points
Tsuneya Yoshida
Even in the linear limit, the topology of multifold (also called higher-order) exceptional points across the Brillouin zone has lacked a general characterization, leaving the doubl…
Interaction-Enabled Two- and Three-Fold Exceptional Points
Musashi Kato, Tsuneya Yoshida
We propose a novel type of exceptional points, dubbed interaction-enabled -fold exceptional points [EPs ()] -- EPs protected by topology that are prohibited at the…
Topological photonics of generalized and nonlinear eigenvalue equations
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
Topological photonics is developed based on the analogy of Schrödinger equation which is mathematically reduced to a standard eigenvalue equation. Notably, several photonic systems…
Liouvillian skin effects in two-dimensional electron systems at finite temperatures
Yuta Shigedomi, Tsuneya Yoshida
Liouvillian skin effects, manifested as the localization of Liouvillian eigenstates around the boundary, are distinctive features of non-Hermitian systems and are particularly nota…
Band structures of generalized eigenvalue equation and conic section
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
Band structures of several metamaterials are described by generalized eigenvalue equations where complex bands emerge even if the involved matrices are Hermitian. In this paper, we…
Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
Tsuneya Yoshida, Takuma Isobe, Yasuhiro Hatsugai
Band structures of metamaterials described by a nonlinear eigenvalue problem are beyond the existing topological band theory. In this paper, we analyze non-Hermitian topology under…