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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…
R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
Tsuneya Yoshida
We analyze a correlated system in equilibrium with special emphasis on non-Hermitian topology inducing a skin effect. The pseudo-spectrum, computed by the real-space dynamical mean…
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…
Exceptional points in the one-dimensional Hubbard model
Roman Rausch, Robert Peters, Tsuneya Yoshida
Non-Hermitian phenomena offer a novel approach to analyze and interpret spectra in the presence of interactions. Using the density-matrix renormalization group (DMRG), we demonstra…
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…