Ferromagnetism and canted spin phase in $\mathrm{AlAs}/{\mathrm{Ga}}_{1-x}{\mathrm{Mn}}_x\mathrm{As}$ single quantum wells: Monte Carlo simulation

The magnetic order resulting from a confinement-adapted Ruderman-Kittel-Kasuya-Yosida indirect exchange between magnetic moments in the metallic phase of a $\mathrm{AlAs}/{\mathrm{Ga}}_{1-x}{\mathrm{Mn}}_x\mathrm{As}$ quantum well is studied by Monte Carlo simulation. This coupling mechanism involves magnetic moments and carriers (holes), both coming from the same ${\mathrm{Mn}}^{2+}$ ions. It leads to a paramagnetic, a ferromagnetic, or a canted spin phase, depending on the carrier concentration, and on the magnetic layer width. It is shown that high transition temperatures may be obtained.