Dimensional Crossover in Chemical Potential of Synthetic Spin-Orbit Coupled Fermi Systems

We investigate the properties of a condensed-matter system modeled as an ideal atomic Fermi gas with a synthetic spin-orbit coupling. The coupling has been taken to be isotropic and possessing an infinitely degenerate ground state manifold given by a sphere in momentum space is 3D analogue of the Rashba-type. It is found that the chemical potential of such a system exhibits an anomalous behavior typically akin to dimensional reduction. The study shows that some other properties also get affected by the SO coupling and the effects could be attributed to be thermodynamic signatures of Majorana fermions.