Magnetization of two-dimensional heavy holes with boundaries in a perpendicular magnetic field

The magnetisation of heavy holes in III--V semiconductor quantumwells with Rashba spin-orbit coupling (SOC) in an externalperpendicular magnetic field is studied theoretically. Weconcentrate on the effects on the magnetisation induced by thesystem boundary, the Rashba SOC and the temperature. It is foundthat the sawtooth-like de Haas--van Alphen (dHvA) oscillations ofthe magnetisation will change dramatically in the presence of suchthree factors. Especially, the effects of the edge states and RashbaSOC on the magnetisation are more evident when the magnetic field issmaller. The oscillation center will shift when the boundary effectis considered and the Rashba SOC will bring beating patterns to thedHvA oscillations. These effects on the dHvA oscillations arepreferably observed at low temperatures. With increasingtemperature, the dHvA oscillations turn to be blurred and eventuallydisappear.