Magnetization of Two Dimensional Heavy Holes with Boundaries in a Perpendicular Magnetic Field

The magnetization of heavy holes in III-V semiconductor quantum wells with Rashba spin-orbit coupling (SOC) in an external perpendicular magnetic field is theoretically studied. We concentrate on the effects on the magnetization induced by the system boundary, the Rashba SOC and the temperature. It is found that the sawtooth-like de Haas--van Alphen (dHvA) oscillations of the magnetization will change dramatically in the presence of such three factors. Especially, the effects of the edge states and Rashba SOC on the magnetization are more evident when the magnetic field is more small. The oscillation center will shift when the boundary effect is considered and the Rashba SOC will bring beating patterns to the dHvA oscillations. These effects on the dHvA oscillations are preferred to be observed at low temperature. With increasing the temperature, the dHvA oscillations turn to be blurred and eventually disappear.