R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum

Abstract

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-field theory, elucidates that additional pseudo-eigenstates 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 pseudo-spectrum. Our numerical simulation clarifies that while the damping of the quasi-particles induces the non-trivial point-gap topology, it destroys the non-trivial line-gap topology. The above two effects are also reflected in the temperature dependence of the local pseudo-spectral weight.

8 pages, 3 figures. References are updated

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Cited by in corpus (18)

• Topological Non-Hermitian skin effect
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Non-Hermitian Many-Body Localization with Open Boundaries
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Geometry-dependent skin effects in reciprocal photonic crystals
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Symmetry protected exceptional points of interacting fermions
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Phantom relaxation rate of the average purity evolution in random circuits due to Jordan non-Hermitian skin effect and magic sums
• Nontrivial worldline winding in non-Hermitian quantum systems
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Purity decay rate in random circuits with different configurations of gates
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices