DYNAMICAL PROPERTIES OF THE PINNED WIGNER CRYSTAL

We study various dynamical properties of the weakly pinned Wigner crys tal in a high magnetic field. Using a Gaussian variational method, we can compute the full frequency and held dependence of the real and ima ginary parts of the diagonal and Hall conductivities. The zero tempera ture Hall resistivity is independent of frequency and remains unaffect ed by disorder at its classical value. We show that, depending on the inherent length scales of the system, the pinning peak and the thresho ld electric field exhibit strikingly different magnetic field dependen ces.