Oscillating magnetization of quantum wells and wires in tilted magnetic fields

Abstract

The magnetization of parabolic quantum wells and wires in strong tilted magnetic fields has been calculated analytically within the single-particle picture. The results deviate considerably from the usual dHvA oscillations and exhibit the superposition of smooth large-period oscillations and abrupt small-period oscillations as a function of the chemical potential characterized by two hybrid eigenfrequencies. The coupling Hamiltonian \ensuremath{\sim}${\mathit{B}}_{\mathit{x}}$${\mathit{B}}_{\mathit{z}}$ plays a significant role in determining the magnetization despite its insignificant contribution to the energy spectrum.