Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory

Abstract

Non-Hermitian quantum systems, characterized by their ability to model open systems with gain and loss, have unveiled striking phenomena such as the non-Hermitian skin effect (NHSE), where eigenstates localize at boundaries under open boundary conditions. While extensively studied in non-interacting systems, the interplay between NHSE and strong electron correlations remains largely unexplored. Here, we investigate the non-Hermitian Hubbard model with asymmetric hopping, employing real-space dynamical mean-field theory (R-DMFT), a novel extension to such non-Hermitian correlated models-to capture both local correlations and spatial inhomogeneities. By analyzing the end-to-end Green's function as probes of directional amplification, we demonstrate that strong correlations can suppress the skin effect, leading to a crossover from boundary-dominated to correlation-driven dynamics. Our systematic study reveals that correlations dominate at small to intermediate strength of asymmetric hopping, inducing exponential decay in the end-to-end Green's function, but higher strength of asymmetric hopping can restore amplification even at strong interaction. These results illuminate the tunable interplay between correlations and non-Hermitian physics, suggesting avenues for engineering non-reciprocal transport in correlated open quantum systems.

8 pages, 4 figures

References in corpus (40)

• Making Sense of Non-Hermitian Hamiltonians
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Topological acoustics
• Universal non-Hermitian skin effect in two and higher dimensions
• Acoustic non-Hermitian skin effect from twisted winding topology
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Many-body topology of non-Hermitian systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Non-Hermitian Many-Body Localization with Open Boundaries
• Asymmetric frequency conversion with acoustic non-Hermitian space-time varying metamaterial
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Non-Hermitian Mott Skin Effect
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Non-Hermitian quasicrystal in dimerized lattices
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Entanglement dynamics in the many-body Hatano-Nelson model
• Green's functions of multiband non-Hermitian systems
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Full counting statistics in the many-body Hatano-Nelson model
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Non-Hermitian Hubbard model without the sign problem
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Autoregressive neural quantum states of Fermi Hubbard models
• Interaction-Induced Second-Order Skin Effect
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model