Thermodynamics of low-dimensional trapped Fermi gases

TL;DR

This paper investigates how low dimensionality influences the thermodynamic properties of trapped Fermi gases, revealing characteristic temperatures and fluctuation regimes through energy-entropy analysis.

Contribution

It introduces an energy-entropy argument to interpret characteristic temperatures and fluctuation phenomena in low-dimensional trapped Fermi gases.

Findings

Identification of a non-zero temperature where chemical potential equals Fermi energy

Nonmonotonic chemical potential dependence on temperature

Enhanced fluctuations in thermodynamic susceptibilities at certain regimes

Abstract

The effects of low dimensionality on the thermodynamics of a Fermi gas trapped by isotropic power law potentials are analyzed. Particular attention is given to different characteristic temperatures that emerge, at low dimensionality, in the thermodynamic functions of state and in the thermodynamic susceptibilities (isothermal compressibility and specific heat). An energy-entropy argument that physically favors the relevance of one of these characteristic temperatures, namely, the non vanishing temperature at which the chemical potential reaches the Fermi energy value, is presented. Such an argument allows to interpret the nonmonotonic dependence of the chemical potential on temperature, as an indicator of the appearance of a thermodynamic regime, where the equilibrium states of a trapped Fermi gas are characterized by larger fluctuations in energy and particle density as is revealed in the corresponding thermodynamics susceptibilities.