Real-space dynamical mean field theory study of non-Hermitian skin effect for correlated systems: Analysis based on pseudospectrum
Tsuneya Yoshida
Abstract
We analyze a correlated system in equilibrium with special emphasis on non-Hermitian topology inducing a skin effect. The pseudospectrum, computed by the real-space dynamical mean field theory, elucidates that additional pseudoeigenstates emerge for the open boundary condition in contrast to the dependence of the density of states on the boundary condition. We further discuss how the line-gap topology, another type of non-Hermitian topology, affects the pseudospectrum. Our numerical simulation clarifies that while the damping of the quasiparticles induces the nontrivial point-gap topology, it destroys the nontrivial line-gap topology. The above two effects are also reflected in the temperature dependence of the local pseudospectral weight.