Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
arXiv:2003.02219 · doi:10.1103/PhysRevLett.125.186802
Abstract
In this paper, we study the conditions under which on-site dissipations can induce non-Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian has spinless time-reversal symmetry, it is impossible to have skin modes; on the other hand, if the Hermitian Hamiltonian has spinful time-reversal symmetry, skin modes can be induced by on-site dissipations under certain circumstance. As a concrete example, we employ the Rice-Mele model to illustrate our results. Furthermore, we predict that the skin modes can be detected by the chiral tunneling effect, that is, the tunneling favors the direction where the skin modes are localized. Our work reveals a no-go theorem for the emergence of skin modes, and paves the way for searching for quantum systems with skin modes and studying their novel physical responses.
arXiv comment7 pages main text + 27 pages supplemental material, to appear in Physical Review Letters
References in corpus (98)
- Topological Photonics
- Making Sense of Non-Hermitian Hamiltonians
- Classification of topological quantum matter with symmetries
- Edge states and topological invariants of non-Hermitian systems
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Topological Band Theory for Non-Hermitian Hamiltonians
- Anomalous edge state in a non-Hermitian lattice
- Non-Bloch Band Theory of Non-Hermitian Systems
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Chern bands
- Observation of bulk boundary correspondence breakdown in topolectrical circuits
- Non-Hermitian Boundary Modes
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Anatomy of skin modes and topology in non-Hermitian systems
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Nonequilibrium dynamical mean-field theory and its applications
- Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
- Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
- Biorthogonal Quantum Mechanics
- Edge states and topological phases in non-Hermitian systems
- Hybrid higher-order skin-topological modes in non-reciprocal systems
- Second-Order Topological Phases in Non-Hermitian Systems
- Topological Transition in a Non-Hermitian Quantum Walk
- Non-Hermitian Topological Invariants in Real Space
- Topological phase transition in non-Hermitian quasicrystals
- Strong dissipation inhibits losses and induces correlations in cold molecular gases
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Classification of Exceptional Points and Non-Hermitian Topological Semimetals
- Reciprocal skin effect and its realization in a topolectrical circuit
- Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
- Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- Classification of topological insulators and superconductors in the presence of reflection symmetry
- New topological invariants in non-Hermitian systems
- Classification of reflection symmetry protected topological semimetals and nodal superconductors
- Experimental realization of a Weyl exceptional ring
- Controlling the dynamics of an open many-body quantum system with localized dissipation
- Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
- Higher-order topological corner states induced by gain and loss
- Topological states of non-Hermitian systems
- Non-Hermitian perspective of the band structure in heavy-fermion systems
- Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
- Exceptional rings in two-dimensional correlated systems with chiral symmetry
- Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
- Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
- Symmetry-protected nodal phases in non-Hermitian systems
- Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
- Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
- Non-Hermitian systems and topology: A transfer-matrix perspective
- Tenfold Way for Quadratic Lindbladians
- Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
- Experimental observation of exceptional surface in synthetic dimensions with magnon polaritons
- Non-Bloch topological invariants in a non-Hermitian domain-wall system
- Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
- Non-Hermitian Hopf-Link Exceptional Line Semimetals
- Topological Classification of Non-Hermitian Hamiltonians
- Perspective on topological states of non-Hermitian lattices
- Non-Bloch band collapse and chiral Zener tunneling
- Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
- Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
- Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
- Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
- Non-Hermitian Linear Response Theory
- Hall Conductance of a Non-Hermitian Chern Insulator
- Generalized bulk-edge correspondence for non-hermitian topological systems
- Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
- Topological classification of non-Hermitian systems with reflection symmetry
- Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
- Mirror skin effect and its electric circuit simulation
- Jones polynomial and knot transitions in topological semimetals
- Non-Hermitian exceptional Landau quantization in electric circuits
- Anomalous momentum diffusion in a dissipative many-body system
- Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov-de Gennes equation
- Many-body approach to non-Hermitian physics in fermionic systems
- Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
- Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
- Geometric classification of non-Hermitian topological systems through the singularity ring
- Dissipative Bose-Hubbard system with intrinsic two-body loss
- Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
- Non-Bloch symmetry breaking in non-Hermitian Photonic Quantum Walks
- Finite-size effects in non-Hermitian topological systems
- Experimental realisation of -symmetric flat bands
- Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
- Topological Phase Transition Independent of System Non-Hermiticity
- Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems
- Excess charges as a probe of one-dimensional topological crystalline insulating phases
- Non-Hermitian Topological End-Mode Lasing in Polariton Systems
- Alice string in Non-Hermitian Systems
- Skin effect and excitation spectral of interacting non-Hermitian system
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- Non-Hermitian topological phenomena: A review
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- Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
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