Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-01-27
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.
Chern Chyh-Hong
Murakami Shuichi
Nagaosa Naoto
Onoda Shigeki
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