Quantum charge pumping and electric polarization in Anderson insulators

Abstract

We investigate adiabatic charge pumping in disordered system in one dimension with open and closed boundary conditions. In contrast to the Thouless charge pumping, the system has no gap even though all the states are localized, i.e., strong localization. Charge pumping can be achieved by making a loop adiabatically in the two-dimensional parameter space of the Hamiltonian. It is because there are many $\delta$-function-like fluxes distributed over the parameter space with random strength, in sharp contrast to the single $\delta$-function in the pure case. This provides a new and more efficient way of charge pumping and polarization.

16 pages, 15 figures

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Cited by in corpus (8)

• Topological Floquet-Thouless energy pump
• Localization, topology and quantized transport in disordered Floquet systems
• Dynamic scattering channels of a double barrier structure
• Equivalence of topological and scattering approaches to quantum pumping
• Comparison of quantization of charge transport in periodic and open pumps
• Prethermalization and entanglement dynamics in interacting topological pumps
• From Anderson Localization to Mesoscopic Physics
• Nonequilibrium current-induced forces caused by quantum localization: Anderson Adiabatic Quantum Motors