ANOMALOUS HALL EFFECT IN PARAMAGNETIC 2DEG WITH LINEAR AND CUBIC DRESSELHAUS SPIN–ORBIT COUPLING

We study the anomalous Hall effect in paramagnetic two-dimensional electron gas (2DEG) with both linear and cubic Dresselhaus spin–orbit coupling by means of Berry connection and Berry curvature. The effect of tuning the Fermi level and of tuning the cubic coupling coefficient on the anomalous Hall conductivity have been investigated semiclassically. Our results show that a sign reversal in the anomalous Hall conductivity may appear if the cubic Dresselhaus coefficient is very large and the Fermi surface is high enough, so the cubic Dresselhaus spin–orbit coupling term cannot be neglected in this case.