CONDUCTIVITY OF A SEMICONDUCTOR SUPERLATTICE IN A MAGNETIC-FIELD PERPENDICULAR TO ITS AXIS

A calculation is reported of the electrical conductivity tensor of a semiconductor superlattice in a magnetic field which is perpendicular to the superlattice axis and which creates intraminiband Landau levels; it is assumed also that the superlattice is subjected to a weak electric field. The Hall resistivity of the superlattice is found to be less than that of ordinary semiconductors and does not obey the laws rho-xy proportional H and rho-xy proportional n-1; moreover, the magnetoresistance is high along the superlattice axis; it is negative along the superlattice layers.