Quantum oscillations in confined and degenerate Fermi gases. II. The phase diagram and applications of half-vicinity model

Highlights: • A phase diagram separating oscillatory and stationary regimes is proposed. • Analytical expressions for phase transition interfaces are given. • Accuracy of the model is examined over electronic heat capacity and entropy. • Oscillatory violation of entropy–heat capacity equivalence is shown. - Abstract: For part I see DOI: 10.1016/j.physleta.2018.02.006. Size and density dependent quantum oscillations appear in Fermi gases under strong confinement and degeneracy conditions. We provide a universal recipe that explicitly separates oscillatory regime from non-oscillatory (stationary) one. A phase diagram representing stationary and oscillatory regimes on degeneracy-confinement space is proposed. Analytical expressions of phase transition interfaces are derived. The critical point, which separates entirely stationary and oscillatory regions, is determined and its dependencies on aspect ratios are examined for anisometric domains. Accuracy of the half-vicinity model and the phase diagram are verified through the quantum oscillations in electronic heat capacity and its ratio to entropy.