Quantum charge pumping and electric polarization in Anderson insulators

Details Quantum charge pumping and electric polarization in Anderson insulators Quantum charge pumping and electric polarization in Anderson insulators

2007-01-27

arxiv.org/abs/cond-mat/0701681v2

Phys. Rev. B 76, 035334 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 15 figures

Scientific paper

10.1103/PhysRevB.76.035334

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.

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