Thermodynamic Properties of Mn-Doped Diluted Magnetic Semiconductor Superlattices
Abstract
This work investigates the thermodynamic properties of a two-dimensional electron gas in manganese-doped diluted magnetic semiconductor superlattices, with particular emphasis on the chemical potential. Within the grand canonical formalism, a general expression for the chemical potential is derived that is valid for both degenerate and nondegenerate cases. In the nondegenerate limit, the chemical potential decreases with increasing temperature and exhibits a logarithmic dependence on carrier density; the temperature sensitivity is most pronounced at low carrier concentrations, where entropic effects dominate. In the degenerate regime, Landau quantization leads to a characteristic stepwise oscillatory dependence of the chemical potential on the applied magnetic field. The influence of the exchange interaction is analyzed in two limiting cases: in the weak-coupling limit, the correction to the chemical potential is linear in the concentration and exchange constant, whereas in the strong-coupling limit, the system approaches complete spin polarization with carriers confined predominantly to a single spin channel. The exchange interaction introduces an additional spin-dependent contribution described by the Brillouin function, resulting in the most pronounced modifications at low temperatures and in strong magnetic fields.
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