Conductivity of a disordered Wigner crystal

We extend our previous theory for the ground state of a disordered electron solid to calculate its transport properties. The Coulomb interaction is taken in the Hartree-Fock approximation and the potential of charged impurities in the self-consistent Born approximation. In agreement with recent experiments by Li et al. we find, for strong disorder, a linear frequency dependence of the in-phase conductivity. We show how the dc conductivity of the system can be determined in our theory. At strong disorder an algebraic temperature dependence of the conductivity results which is consistent with experiments by Goldman et al.