de Haas-van Alphen magnetization oscillations in the system of quasiparticles with spin dependent masses

摘要

We consider magnetic properties of a two-dimensional Fermi liquid of quasiparticles with spin dependent masses, that are located in a periodic crystal potential. To determine thermodynamic properties of obtained Hofstadter-like model we use the quantum transfer-matrix method developed by T. Xiang and collaborators. The de Haas-van Alphen oscillations of magnetization, as well as magnetic susceptibility are calculated at finite temperature.