Statistical thermodynamics and magnetic moments of Landau quantized group VI dichalcogenides

This work is focused on the determination of the Helmholtz free energy and the magnetic moments of the 'Dirac-like' group VI dichalcogenides subject to Landau quantization. We employ a technique described by Wilson to relate the free energy to the Green's function for the dichalcogenides in a high magnetic field, which was recently evaluated explicitly in terms of elementary functions. In the course of this analysis, the partition function is determined as a function of the magnetic field as well. The results exhibit the role of the quantizing magnetic field in the Helmholtz free energy at arbitrary temperature, and they are also employed to obtain the magnetic moments of the dichalcogenides. Explicit analytic formulas characteristic of de Haas-van Alphen oscillatory phenomenology are presented in the degenerate limit, and nondegenerate Landau quantization effects are also presented for the dichalcogenide magnetic moments.