Quantum charge pumping and electric polarization in Anderson insulators

Chyh-Hong Chern, Shigeki Onoda, Shuichi Murakami, and Naoto Nagaosa
Phys. Rev. B 76, 035334 – Published 26 July 2007

Abstract

We investigate adiabatic charge pumping in the 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 δ-function-like fluxes distributed over the parameter space with random strength, in sharp contrast to the single δ-function in the pure case. This provides a more efficient way of charge pumping and polarization.

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  • Received 27 January 2007

DOI:https://doi.org/10.1103/PhysRevB.76.035334

©2007 American Physical Society

Authors & Affiliations

Chyh-Hong Chern*

  • Institute for Solid State Physics, University of Tokyo, Kashiwanoha 5-1-5, Kashiwa 277-8581, Japan

Shigeki Onoda and Shuichi Murakami

  • CREST, Department of Applied Physics, University of Tokyo, 7-3-1 Hongo, Tokyo 113-8656, Japan

Naoto Nagaosa

  • CREST, Department of Applied Physics, University of Tokyo, 7-3-1 Hongo, Tokyo 113-8656, Japan and Correlated Electron Research Center, National Institute of Advanced Industrial Science and Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8562, Japan

  • *chern@issp.u-tokyo.ac.jp

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Issue

Vol. 76, Iss. 3 — 15 July 2007

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