Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
arXiv:2105.06621 · doi:10.1088/1674-1056/ac3222
Abstract
In this paper, a one-dimensional non-Hermitian quasiperiodic -wave superconductor without -symmetry is studied. By analyzing the spectrum, we discovered there still exists real-complex energy transition even if the inexistence of -symmetry breaking. By the inverse participation ratio, we constructed such a correspondence that pure real energies correspond to the extended states and complex energies correspond to the localized states, and this correspondence is precise and effective to detect the mobility edges. After investigating the topological properties, we arrive at a fact that the Majorana zero modes in this system are immune to the non-Hermiticity.
arXiv comment9 pages, 7 figures; an invited paper to Chinese Physics B, special issue: Non-Hermitian Physics
References in corpus (63)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Unpaired Majorana fermions in quantum wires
- Classification of topological insulators and superconductors in three spatial dimensions
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Edge states and topological invariants of non-Hermitian systems
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Anomalous edge state in a non-Hermitian lattice
- Topological energy transfer in an optomechanical system with exceptional points
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Boundary Modes
- Spawning rings of exceptional points out of Dirac cones
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- Three-dimensional localization of ultracold atoms in an optical disordered potential
- Topological phase transition in non-Hermitian quasicrystals
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- 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 Delocalization and Eigenfunctions
- Non-Hermitian Many-Body Localization
- Majorana bound states from exceptional points in non-topological superconductors
- Measurement of the mobility edge for 3D Anderson localization
- Observation of many-body localization in a one-dimensional system with single-particle mobility edge
- Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
- Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
- Metal-insulator phase transition in a non-Hermitian Aubry-André-Harper Model
- Parity-time-symmetric topological superconductor
- Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
- Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
- Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
- Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
- Phase diagram of a non-Abelian Aubry-André-Harper model with -wave superfluidity
- Theory of directed localization in one dimension
- Topological quantum wires with balanced gain and loss
- Anderson localization in the Non-Hermitian Aubry-André-Harper model with physical gain and loss
- Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
- PT Symmetric Aubry-Andre Model
- Self-dual quasiperiodic systems with power-law hopping
- Observation of topological phase with critical localization in a quasi-periodic lattice
- Topological phases in Kitaev chain with imbalanced pairing
- Localization Transition in Incommensurate non-Hermitian Systems
- Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
- PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model
- Three-Dimensional Anderson Localization in Variable Scale Disorder
- Duality between two generalized Aubry-Andre models with exact mobility edges
- Generalized Aubry-André-Harper model with modulated hopping and -wave pairing
- Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
- Anderson localization transition in a robust -symmetric phase of a generalized Aubry-Andre model
- Localization problem of the quasiperiodic system with the spin orbit interaction
- Majorana bound states in a disordered quantum dot chain
- Dynamics of a quantum phase transition in the Aubry-André-Harper model with -wave superconductivity
- Novel mobility edges in the off-diagonal disordered tight-binding models
- Calculation of the conductance of a graphene sheet using the Chalker-Coddington network model
- Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
- Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
- Quench dynamics in the Aubry-André-Harper model with \textit{p}-wave superconductivity