Exceptional points in the one-dimensional Hubbard model

Abstract

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 demonstrate the existence of exceptional points for the one-particle Green's function of the 1D alternating Hubbard chain with chiral symmetry, with a corresponding Fermi arc at zero frequency in the spectrum. They result from the non-Hermiticity of the effective Hamiltonian describing the Green's function and only appear at finite temperature. They are robust and can be topologically characterized by the zeroth Chern number. This effect illustrates a case where temperature has a strong effect in 1D beyond the simple broadening of spectral features. Finally, we demonstrate that exceptional points appear even in the two-particle Green's function (charge structure factor) where an effective Hamiltonian is difficult to establish, but move away from zero frequency due to a distinct symmetry constraint.

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• Topological enhancement of non-normality in non-Hermitian skin effects
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• Exceptional degeneracies in non-Hermitian Rashba semiconductors
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• Surface exceptional points in a topological Kondo insulator
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Noncollinear phase of the antiferromagnetic sawtooth chain
• Low-energy excitations and transport functions of the one-dimensional Kondo insulator
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• A tale of two kinds of exceptional point in a hydrogen molecule
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Distance between exceptional points and diabolic points and its implication for the response strength of non-Hermitian systems
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Geometrically Taming Dynamical Entanglement Growth in Purified Quantum States