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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…
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…
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…
Non-Hermitian skin effect protected by glide symmetry
Sho Ishikawa, Tsuneya Yoshida
Although nonsymmorphic symmetry protects topology for Hermitian systems, non-Hermitian topological phenomena induced by such a unique topological structure remain el…
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…
Higher-order topological heat conduction on a lattice for detection of corner states
T. Fukui, T. Yoshida, Y. Hatsugai
A heat conduction equation on a lattice composed of nodes and bonds is formulated assuming the Fourier law and the energy conservation law. Based on this equation, we propose a hig…
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…
Fate of exceptional points under interactions: Reduction of topological classifications
Tsuneya Yoshida, Yasuhiro Hatsugai
Despite recent extensive studies of the non-Hermitian topology, understanding interaction effects is left as a crucial question. In this paper, we address interaction effects on ex…
Discriminant indicator with generalized rotational symmetry
Hiromasa Wakao, Tsuneya Yoshida, Yasuhiro Hatsugai
Discriminant indicators with generalized inversion symmetry are computed only from data at the high-symmetry points. They allow a systematic search for exceptional points. In this…
Discriminant indicators with generalized inversion symmetry
Tsuneya Yoshida, Ryo Okugawa, Yasuhiro Hatsugai
We propose indicators of the discriminant for systems with generalized inversion symmetry which are computed from data only at high-symmetry points in the Brillouin zone. Our appro…
Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
S. Makino, T. Fukui, T. Yoshida +1
We propose a one-dimensional (1D) diffusion equation (heat equation) for systems in which the diffusion constant (thermal diffusivity) varies alternately with a spatial period .…
Square-root topological phase with time-reversal and particle-hole symmetry
Tsuneya Yoshida, Tomonari Mizoguchi, Yoshihito Kuno +1
Square-root topological phases have been discussed mainly for systems with chiral symmetry. In this paper, we analyze the topology of the squared Hamiltonian for systems preserving…
Symmetry-protected multifold exceptional points and their topological characterization
Pierre Delplace, Tsuneya Yoshida, Yasuhiro Hatsugai
We investigate the existence of higher order exceptional points (EPs) in non-Hermitian systems, and show that -fold EPs are stable in dimensions in the presence of anti-un…
Machine learning of mirror skin effects in the presence of disorder
Hiromu Araki, Tsuneya Yoshida, Yasuhiro Hatsugai
Non-Hermitian systems with mirror symmetry may exhibit mirror skin effect which is the extreme sensitivity of the spectrum and eigenstates on the boundary condition due to the non-…
Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
Tsuneya Yoshida, Tomonari Mizoguchi, Yasuhiro Hatsugai
We theoretically demonstrate the realization of a chiral edge mode in a system beyond natural science. Specifically, we elucidate that a kagome network of rock-paper-scissors (K-RP…
Square-root topological semimetals
Tomonari Mizoguchi, Tsuneya Yoshida, Yasuhiro Hatsugai
We propose topological semimetals generated by the square-root operation for tight-binding models in two and three dimensions, which we call square-root topological semimetals. The…
Bulk-edge correspondence of classical diffusion phenomena
Tsuneya Yoshida, Yasuhiro Hatsugai
We elucidate that the diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a d…
Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
Elisabet Edvardsson, Flore K. Kunst, Tsuneya Yoshida +1
Non-Hermitian (NH) Hamiltonians can be used to describe dissipative systems, and are currently intensively studied in the context of topology. A salient difference between Hermitia…
Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
Tsuneya Yoshida, Koji Kudo, Hosho Katsura +1
Despite previous extensive analysis of open quantum systems described by the Lindblad equation, it is unclear whether correlated topological states, such as fractional quantum Hall…
Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure
Hiromasa Wakao, Tsuneya Yoshida, Tomonari Mizoguchi +1
We propose how to realize the topological modes, which correspond to topological zero modes for a quantum system, protected by chiral and rotation symmetry for a mechanical system.…
Mirror skin effect and its electric circuit simulation
Tsuneya Yoshida, Tomonari Mizoguchi, Yasuhiro Hatsugai
We analyze impacts of crystalline symmetry on the non-Hermitian skin effects. Focusing on mirror symmetry, we propose a novel type of skin effects, a mirror skin effect, which resu…
Higher-order topological phases in a spring-mass model on a breathing kagome lattice
Hiromasa Wakao, Tsuneya Yoshida, Hiromu Araki +2
We propose a realization of higher-order topological phases in a spring-mass model with a breathing kagome structure. To demonstrate the existence of the higher-order topological p…
Non-Hermitian fractional quantum Hall states
Tsuneya Yoshida, Koji Kudo, Yasuhiro Hatsugai
We demonstrate the emergence of a topological ordered phase for non-Hermitian systems. Specifically, we elucidate that systems with non-Hermitian two-body interactions show a fract…