QUANTUM CORRELATED INTERSTITIALS AND THE HALL RESISTIVITY OF THE MAGNETICALLY INDUCED WIGNER CRYSTAL

We study a model of an interstitial in a Wigner crystal (WC). We find that correlations, ignored in a Hartree-Fock treatment, dramatically l ower the interstitial energy, especially at nu close to 1/m (m odd). T he correlation at nu < 1/m is introduced by a trial wave function with a Jastrow factor of a Laughlin state at nu = 1/m. For nu close to but below 1/m, a WC becomes unstable against formation of such interstiti als. It is argued that conduction due to correlated interstitials in t he presence of weak disorder leads to the classical Hall resistivity, as seen experimentally.