  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.
