Quantizing Parallel Magnetic Field Role in Statistical Thermodynamics of a Narrow Quantum Well

We examine quantized-electron statistical thermodynamics in a narrow delta-function quantum-well system subject to a parallel magnetic field of arbitrary strength. In this, we employ an exact, analytical closed-form Green’s function for Landau-quantized electrons in skipping states of motion between the walls of the narrow quantum well coupled with in-plane translational motion and hybridized with the zero-field lowest subband energy eigenstate. The results are expressed entirely in terms of elementary function generators of the Landau eigenfunction series. In particular, we determine the (grand) thermodynamic potential of the system in the quantum strong field limit, in which only the lowest Landau eigenstate is occupied.