HALL-COEFFICIENT OF A PINNED 2D ELECTRON LATTICE

We argued that for transport due to dislocation pairs the ratio of the Hall resistivity to its classical value is given by rho(xy)/rho(xy)0 = 1/(1 + x), x = piepsilon0omega0(2)mL(y)/en(e) ln (L(y)/a) where epsilon0 is the permeability of the vacuum, L(y) in units of meter is the transverse dimension of the sample, omega0 is the average pinning frequency due to impurities, n(e) is the density of the electrons. Taking an experimental estimate of the pinning frequency of 1 GHz, x almost-equal-to 10(-18). Thus the Hall coefficient is very close to the classical value. The longitudinal resistivity is activated in character but the Hall coefficient is not. This is observed experimentally. On the other hand, if transport were dominated by other ''isotropic'' defects such as vacancies, the Hall resistivity would also be of activated character.