Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
arXiv:2404.12266 · doi:10.1103/PhysRevB.110.L041102
Abstract
By Avila's global theory, we analytically reveal that the non-Hermitian mobility edge will take on a ring structure in the complex plane, which we name as "mobility ring". The universality of mobility ring has been checked and supported by the Hermitian limit, -symmetry protection and without -symmetry cases. Further, we study the evolution of mobility ring versus quasiperiodic strength, and find that in the non-Hermitian system, there will appear multiple mobility ring structures. With cross-reference to the multiple mobility edges in Hermitian case, we give the expression of the maximum number of mobility rings. Finally, by comparing the results of Avila's global theorem and self-duality method, we show that self-duality relation has its own limitations in calculating the critical point in non-Hermitian systems. As we know, the general non-Hermitian system has a complex spectrum, which determines that the non-Hermitian mobility edge can but exhibit a ring structure in the complex plane.
arXiv comment4.5+4 pages,4+2 figures
References in corpus (71)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Edge states and topological invariants of non-Hermitian systems
- Anderson Transitions
- Anderson localization of a non-interacting Bose-Einstein condensate
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Topological Origin of Non-Hermitian Skin Effects
- Nonlinear waves in -symmetric systems
- Topological States and Adiabatic Pumping in Quasicrystals
- Non-Bloch Band Theory of Non-Hermitian Systems
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Boundary Modes
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Anatomy of skin modes and topology in non-Hermitian systems
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
- Localization and delocalization of light in photonic moire lattices
- Spectral signatures of many-body localization with interacting photons
- Critical non-Hermitian Skin Effect
- Direct observation of a localization transition in quasi-periodic photonic lattices
- Anti-Parity-Time Symmetric Optics via Flying Atoms
- Topological phase transition in non-Hermitian quasicrystals
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Observation of Topological Phase Transitions in Photonic Quasicrystals
- Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Non-Hermitian Many-Body Localization
- Nonlinear control of PT-symmetry and non-Hermitian topological states
- Topological Pumping over a Photonic Fibonacci Quasicrystal
- One dimensional quasiperiodic mosaic lattice with exact mobility edges
- Anderson localization in Bose-Einstein condensates
- One-dimensional quasicrystals with power-law hopping
- Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential
- Metal-insulator phase transition in a non-Hermitian Aubry-André-Harper Model
- Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
- Reentrant Localization Transition in a Quasiperiodic Chain
- Exact mobility edges, -symmetry breaking and skin effect in one-dimensional non-Hermitian quasicrystals
- Non-Hermitian Topological Anderson Insulators
- Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
- Observation of energy resolved many-body localization
- Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Many-body localization in a non-Hermitian quasi-periodic system
- Many-body topology of non-Hermitian systems
- Exceptional points in topological edge spectrum of PT symmetric domain walls
- Exact new mobility edges between critical and localized states
- Critical phase dualities in 1D exactly-solvable quasiperiodic models
- Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
- Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
- Non-Hermitian Floquet Topological Matter -- A Review
- Hidden dualities in 1D quasiperiodic lattice models
- Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
- Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants
- Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
- Emergent phase transition in Cluster Ising model with dissipation
- Non-Hermitian Stark Many-Body Localization
- Non-Hermitian Maryland Model
- Entanglement phase transitions in non-Hermitian quasicrystals
- Quantum dynamics on a lossy non-Hermitian lattice
- Non-Hermitian topological end breathers
- Engineering mobility in quasiperiodic lattices with exact mobility edges
- Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
Cited by in corpus (24)
- Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
- Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
- Identifying non-Hermitian critical points with quantum metric
- Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
- Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
- Fate of non-Hermitian free fermions with Wannier-Stark ladder
- Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
- Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
- Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
- Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
- Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
- Reentrant localization transition induced by a composite potential
- Anomalous spectrum in a non-Hermitian quasiperiodic chain
- Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
- Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
- Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
- The global phase diagram of the cluster-XY spin chain with dissipation
- Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
- Vacuum induced three-body delocalization in cavity quantum materials
- Family of self-dual quasicrystals with critical Phases
- Critical properties in the non-Hermitian Aubry-Andre-Stark model
- Recent progress on disorder-induced topological phases
- Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
- Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal