Condition of strong magnetic field in the mode of quantum reluctance oscillations

The volume (3D), quasi-two-dimentional (Q2D), and two-dimentional (2D) oscillations of degenerated electrons of the Shubnikov-de Haase reluctance reveal common properties. The region of quantum oscillations is bounded (in the magnetic field) from below by the weak field condition (ω_cτ_t≤1) and from above by the quantum limit condition (ξ_F≥ħω_c/2). The monotonic oscillation component is saturated for the occupied main conduction E_m-subband and excitation E_p-subband of dimensional quantization for the Q2D and 2D electron systems in strong magnetic fields. The reluctance of the Q2D system in the quantum limit changes according to a law ∼B ^α with α ≈ 2.6–2.8. The oscillation amplitude is described by an exponential dependence on the magnetic field strength and temperature, similarly to the 3D case. This is caused by the identity of physical conditions and the topology of resonant escape of the Landau levels out of the Fermi surface. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 33–39, March, 2006.