Advanced Physical Research

This work presents a comprehensive theoretical study of the heat capacity of Mn-doped diluted magnetic semiconductor superlattices under quantizing magnetic fields. Unified analytical expressions are derived for a wide temperature range (100–400 K) and magnetic field strengths, enabling consistent comparison across different limits. The analysis clarifies the roles of Landau level quantization, spin splitting, and exchange interaction in determining thermodynamic behavior. At low temperatures, the heat capacity follows linear Fermi-liquid behavior, while at higher temperatures it increases with temperature due to quasi-two-dimensional carrier confinement. In the strong coupling regime, a pronounced non-monotonic dependence on magnetic field is observed, whereas in the weak-coupling limit a quadratic field dependence is recovered. Exchange interactions introduce significant temperature-dependent corrections, especially near the Curie temperature.