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.

Main text: 8 pages, 4 figures, SM: 13 pages, 9 figures

References in corpus (18)

• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• New topological invariants in non-Hermitian systems
• Topological invariance and global Berry phase in non-Hermitian systems
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Topology of multipartite non-Hermitian one-dimensional systems
• The non-Hermitian skin effect: A perspective
• 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
• 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