Adiabatic charge transport through non-Bloch bands

Abstract

We explore the non-reciprocal intracell hopping mediated non-Hermitian topological phases of an extended Su-Schrieffer-Heeger model hosting second-nearest-neighbour hopping. We microscopically analyze the phase boundaries using the non-Bloch momentum while the off-critical (critical) phases are directly associated with the gapped (gapless) nature of the non-Bloch bands that we derive from the characteristic equation using the gauge freedom. The non-Bloch momentum accurately reflects the bulk boundary correspondence (BBC) explaining the winding number profile under open boundary conditions. We examine the adiabatic dynamics to promote the concept of adiabatic charge transport in a non-Hermitian scenario justifying the BBC in spatio-temporal Bott index and non-Bloch Chern number. Once the non-Bloch bands experience no (a) gap-closing during the evolution of time, quantized flow of is preserved (broken). Our study systematically unifies the concept of non-Bloch bands for both static and driven situations.

arXiv commentMain text: 8 pages, 4 figures, SM: 13 pages, 9 figures

References in corpus (79)

• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Topological phases of non-Hermitian systems
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Symmetry and Topology in Non-Hermitian Physics
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Topological energy transfer in an optomechanical system with exceptional points
• Non-Hermitian Chern bands
• 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
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topolectrical circuits
• Topological Thouless Pumping of Ultracold Fermions
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• 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
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Observation of the topological soliton state in the Su-Schrieffer-Heeger model
• Non-Hermitian Topological Invariants in Real Space
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Non-Hermitian Topological Sensors
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Non-Hermitian topological phenomena: A review
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• Higher-order non-Hermitian skin effect
• New topological invariants in non-Hermitian systems
• Observation of higher-order non-Hermitian skin effect
• Topological Non-Hermitian skin effect
• Mapping topological order in coordinate space
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Topological invariance and global Berry phase in non-Hermitian systems
• Disordered Topological Insulators via $C^{\ast }$-Algebras
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Thouless pumping and topology
• Second-order topological non-Hermitian skin effects
• Topological characterization of chiral models through their long time dynamics
• Interplay between long range hopping and disorder in topological systems
• Topolectric circuits: Theory and construction
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Exceptional Topological Insulators
• Non-Commutative Tools for Topological Insulators
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Almost Commuting Matrices, Localized Wannier Functions, and the Quantum Hall Effect
• Non-Hermitian Topological Phases: Principles and Prospects
• Real-space representation of winding number for one-dimensional chiral-symmetric topological insulator
• Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
• Topological Phase Transition Independent of System Non-Hermiticity
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Non-Hermitian Chiral Skin Effect
• A non-Hermitian optical atomic mirror
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• On the Bott index of unitary matrices on a finite torus
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Counter-propagating charge transport in the quantum Hall effect regime
• Topology of multipartite non-Hermitian one-dimensional systems
• Time-dependent topological systems: A study of the Bott index
• Effect of quantum jumps on non-Hermitian system
• The non-Hermitian skin effect: A perspective
• Topological Phase Transitions of Generalized Brillouin Zone
• Kinked linear response from non-Hermitian cold-atom pumping
• Bulk-boundary correspondence in extended trimer Su-Schrieffer-Heeger model
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Topological charge pumping in quasiperiodic systems characterized by Bott index
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Biorthogonal topological charge pumping in non-Hermitian systems
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Flow of unitary matrices: Real-space winding numbers in one and three dimensions
• Adiabatic charge transport in extended SSH models