Effect of weakly nonuniform scattering potentials on the transverse conductivity of metals in a magnetic field

The effect of smooth nonuniformities on the galvanomagnetic phenomena in a strong magnetic field is studied (the Larmor radius of conduction electrons is many times smaller than the correlation radius of the field). It was found that these nonuniformities have a comparitively weak effect on the transverse conductivity. It was established that the functional dependence of the smooth part of the transverse conductivity on the magnetic field is similar to the dependence observed for point defects. Shubnikov–de Haas oscillations, unlike the de Haas–van Alfven oscillations, are in this case quite well developed. In the case of dislocations the transverse conductivity varies as a function of their concentration as cd3/2. The transverse conductivity, the relaxation time, and the transport scattering cross section for a system of dislocations are evaluated.