26 citations · 55 across the 6 of their papers we have counts for
6 papers
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…
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…
Bulk-edge correspondence for nonlinear eigenvalue problems
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
Although topological phenomena attract growing interest not only in linear systems but also in nonlinear systems, the bulk-edge correspondence under the nonlinearity of eigenvalues…
A symmetry-protected exceptional ring in a photonic crystal with negative index media
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
Non-Hermitian topological band structures such as symmetry-protected exceptional rings (SPERs) can emerge for systems described by the generalized eigenvalue problem (GEVP) with He…
Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
Takuma Isobe, Tsuneya Yoshida, Yasuhiro Hatsugai
So far, topological band theory is discussed mainly for systems described by eigenvalue problems. Here, we develop a topological band theory described by a generalized eigenvalue p…