Localization and adiabatic pumping in a generalized Aubry-André-Harper model

Abstract

A generalization of the Aubry-André-Harper (AAH) model is developed, containing a tunable phase shift between on-site and off-diagonal modulations. A localization transition can be induced by varying just this phase, keeping all other model parameters constant. The complete localization phase diagram is obtained. Unlike the original AAH model, the generalized model can exhibit a transition between topologically trivial bandstructures and topologically non-trivial bandstructures containing protected boundary states. These boundary states can be pumped across the system by adiabatic variations in the phase shift parameter. The model can also be used to demonstrate the phenomenon of adiabatic pumping breakdown due to localization.

References in corpus (3)

• Bounds for the adiabatic approximation with applications to quantum computation
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model

Cited by in corpus (5)

• Virtual Topological Insulators with Real Quantized Physics
• Generalized Aubry-André-Harper model with p-wave superconducting pairing
• Fate of topological states in incommensurate generalized Aubry-André models
• Anomalous charge pumping in a one-dimensional optical superlattice
• Quantum walks in commensurate off-diagonal Aubry-André-Harper model