Ag. Malshukov et al., HALL-EFFECT IN A MAGNETIC-FIELD PARALLEL TO INTERFACES OF A III-V-SEMICONDUCTOR QUANTUM-WELL, Physical review. B, Condensed matter, 57(4), 1998, pp. 2069-2072
We have discovered that the spin-orbit coupling of electrons confined
in a III-V semiconductor quantum well gives rise to an anomalous Hall
current when both magnetic field and electric field are applied parall
el to interfaces of the well. This Hall current is always perpendicula
r to the electric field, and depends strongly on the orientations of t
he electric and magnetic fields with respect to crystal axes. The Hall
current is larger in samples with lower electron mobility. Our theory
predicts that this effect can be observed in asymmetric quantum wells
grown along the [011] direction, but not in [001]- and [111]-oriented
quantum wells.