The path integral quantum-statistical approach to study the magnetic properties of the weakly relativistic interacting electron gas in the inhomogeneous magnetic eld is suggested. In the random phase approximation the thermodynamic potential is calculated. In the case of absolute zero the magnetization and nonlinear magnetic susceptibility of the system are found. Both Landau diamagnetism and P...

Using the method developed in a recent paper (Euro. Phys. J. B 92.8 (2019): 1-28) we consider $1/f$ noise two-dimensional electron gas (2DEG). The coherence length of system is considered as basic parameter for discretizing space, inside which dynamics electrons described by quantum mechanics, while scales much larger than it semi-classical. For our model, based on Thomas-Fermi-Dirac approximat...