THERMODYNAMIC PROPERTIES OF Mn-DOPED DILUTED MAGNETIC SEMICONDUCTOR SUPERLATTICES ТЕРМОДИНАМІЧНІ ВЛАСТИВОСТІ РОЗБАВЛЕНИХ МАГНІТНИХ НАПІВПРОВІДНИКОВИХ НАДГРАТОК, ЛЕГОВАНИХ Mn

Mahmudov M. M., Damirov R. Y., Sardarova N. S., ƏHMƏDOVA A.

East European Journal of Physics, vol.2026, no.2, pp.385-391, 2026 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 2026 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.26565/2312-4334-2026-2-42
  • Journal Name: East European Journal of Physics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.385-391
  • Keywords: Chemical potential, Diluted magnetic semiconductors, Exchange interaction, Landau quantization, Spin polarization, Superlattices
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

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 Mn 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 spindependent contribution described by the Brillouin function, resulting in the most pronounced modifications at low temperatures and in strong magnetic fields.