Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
arXiv:2403.16739 · doi:10.1103/PhysRevA.110.012222
Abstract
We investigate the properties of mobility edge in an Aubry-André-Harper model with non-reciprocal long-range hopping. The results reveal that there can be a new type of mobility edge featuring both strength-dependent and scale-free properties. By calculating the fractal dimension, we find that the positions of mobility edges are robust to the strength of non-reciprocal long-range hopping. Furthermore, through scale analysis of the observables such as fractal dimension, eigenenergy and eigenstate, etc., we show that four different specific mobility edges can be observed in the system. This paper extends the family tree of mobility edges and hopefully it will shed more light on the related theory and experiment.
10 pages,5 figures
References in corpus (50)
- Anderson Transitions
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Topological Origin of Non-Hermitian Skin Effects
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Localization and delocalization of light in photonic moire lattices
- Spectral signatures of many-body localization with interacting photons
- Universal non-Hermitian skin effect in two and higher dimensions
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Observation of Topological Phase Transitions in Photonic Quasicrystals
- Topological Pumping over a Photonic Fibonacci Quasicrystal
- One dimensional quasiperiodic mosaic lattice with exact mobility edges
- Anderson localization in Bose-Einstein condensates
- Experimental observation of strong photon localization in disordered photonic crystal waveguides
- Observation of non-Bloch parity-time symmetry and exceptional points
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Quantum Correlations in Two-Particle Anderson Localization
- Exact relations between multifractal exponents at the Anderson transition
- Localization and adiabatic pumping in a generalized Aubry-André-Harper model
- Observation of non-Hermitian topological Anderson insulator in quantum dynamics
- Reentrant Localization Transition in a Quasiperiodic Chain
- Simulating non-Hermitian quasicrystals with single-photon quantum walks
- Impurity induced scale-free localization
- Many-body localization in a non-Hermitian quasi-periodic system
- Localization and topological transitions in non-Hermitian quasiperiodic lattices
- Exact new mobility edges between critical and localized states
- Observation of topological phase with critical localization in a quasi-periodic lattice
- Critical phase dualities in 1D exactly-solvable quasiperiodic models
- Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
- Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
- Accumulation of scale-free localized states induced by local non-Hermiticity
- Observation of critical phase transition in a generalized Aubry-André-Harper model on a superconducting quantum processor with tunable couplers
- Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
- Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
- Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
- Scale-free localization and PT symmetry breaking from local non-Hermiticity
- Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
- Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
- Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
- Emergent phase transition in Cluster Ising model with dissipation
- Localization of phonons in ion traps with controlled quantum disorder
- Non-Hermitian Stark Many-Body Localization
- Non-Hermitian Maryland Model
- Many-body localization in the interpolating Aubry-André-Fibonacci model
- Scaling and renormalization in the modern theory of polarization: application to disordered systems
- Fate of topological states in incommensurate generalized Aubry-André models
- Non-Hermitian topological end breathers
- Quantum walks in commensurate off-diagonal Aubry-André-Harper model
- Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals
- Scaling laws for non-Hermitian skin effect with long-range couplings
Cited by in corpus (14)
- Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
- Fate of non-Hermitian free fermions with Wannier-Stark ladder
- Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
- Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
- Reentrant localization transition induced by a composite potential
- Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
- Non-Hermitian off-diagonal disordered optical lattices
- The global phase diagram of the cluster-XY spin chain with dissipation
- Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
- Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
- Critical properties in the non-Hermitian Aubry-Andre-Stark model
- Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
- Phase Transitions and Critical Behavior in Quasi-One-Dimensional Two-Channel Systems with Quasiperiodic Disorder
- Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping