Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems

Abstract

Non-Hermtian (NH) Hamiltonians effectively describing the physics of dissipative systems have become an important tool with applications ranging from classical meta-materials to quantum many-body systems. Exceptional points, the NH counterpart of spectral degeneracies, are among the paramount phenomena unique to the NH realm. While realizations of second-order exceptional points have been reported in a variety of microscopic models, higher-order ones have largely remained elusive in the many-body context, as they in general require fine tuning in high-dimensional parameter spaces. Here, we propose a microscopic model of correlated fermions in three spatial dimensions and demonstrate the occurrence of interaction-induced fourth-order exceptional points that are protected by chiral symmetry. We demonstrate their stability against symmetry breaking perturbations and investigate their characteristic analytical and topological properties.

arXiv comment6 pages, 4 figures

References in corpus (52)

• Classification of topological quantum matter with symmetries
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• The physics of exceptional points
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Anomalous edge state in a non-Hermitian lattice
• Topolectrical circuit realization of topological corner modes
• Non-Hermitian Chern bands
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Topological Transition in a Non-Hermitian Quantum Walk
• Non-Hermitian Topological Sensors
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
• Symmetry-protected nodal phases in non-Hermitian systems
• Simplified topological invariants for interacting insulators
• The Chirality of Exceptional Points
• Local Electronic Correlation at the Two-Particle Level
• Signatures of three coalescing eigenfunctions
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
• Arbitrary order exceptional point induced by photonic spin-orbit interaction in coupled resonators
• Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
• Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
• Non-Hermitian gauged topological laser arrays
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Exceptional rings protected by emergent symmetry for mechanical systems
• Topological quantum wires with balanced gain and loss
• DMFT reveals the non-Hermitian topology in heavy-fermion systems
• Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model
• Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Exceptional band touching for strongly correlated systems in equilibrium
• Relation between exceptional points and the Kondo effect in $f$-electron materials
• Spectral properties of the three-dimensional Hubbard model
• Non-Hermitian adiabatic transport in spaces of exceptional points
• Exceptional points in the one-dimensional Hubbard model
• Anomalous features of non-Hermitian topological states
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Resistivity Exponents in 3D-Dirac Semimetals From Electron-Electron Interaction
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals

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• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Realizing exceptional points of any order in the presence of symmetry
• Non-Hermitian Topological Phases: Principles and Prospects
• Mott insulators with boundary zeros
• Classification of Exceptional Nodal Topologies Protected by $\mathcal{P}\mathcal{T}$ Symmetry
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Reservoir-assisted symmetry breaking and coalesced zero-energy modes in an open PT-symmetric Su-Schrieffer-Heeger model
• Symmetry-induced higher-order exceptional points in two dimensions
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Symmetry protected exceptional points of interacting fermions
• Exceptional dynamics of interacting spin liquids
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Correlations at higher-order exceptional points in non-Hermitian models
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Nodal phases in non-Hermitian wallpaper crystals
• Winding Topology of Multifold Exceptional Points
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles