Regular Article - Solid State and Materials
Spin-imbalanced homogeneous atomic fermi gas in two dimensions
Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
2 Department of Physics, Faculty of Science, The Hashemite University, Zarqa, Jordan
Accepted: 3 September 2021
Published online: 27 September 2021
Two-dimensional spin-imbalanced homogeneous gas trapped in a hard box is studied within the static fluctuation approximation (SFA). The effects of temperature, tarp size, interaction strength and polarization on the thermodynamic properties are investigated. In the quantum regime, the energy U is found to be a parabolic function of T. The heat capacity and entropy increase with the width of the box indicating that these quantities are non-intensive quantities for finite size system, whereas the chemical potential and U decrease as the box width increases. In addition, U increases linearly with in the repulsive interaction case and decreases as the magnitude of of attractive potential increases. The results are compared to those obtained within the Diffusion Monte Carlo method with Fixed Node approximation, the self-consistent fluctuation theory, the virial expansion, and other experimental results. Our results for are compared to the theoretical results obtained by the virial-expansion method for a gas in free space, as well as to the experimental results for a gas in a harmonic trap. We have found that the results depend on the type of trap.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021