Abstract
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 \(g_{0}\) 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 \(\mu ~\)and U decrease as the box width increases. In addition, U increases linearly with \(g_{0}\) in the repulsive interaction case and decreases as the magnitude of \(g_{0}\) 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 \(\mu \) 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.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data has been listed.]
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Two of the authors (H. A. Al-Khzon and M. K. Al-Sugheir) worked together at each stage of the work.
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Al-Khzon, H.A., Al-Sugheir, M.K. Spin-imbalanced homogeneous atomic fermi gas in two dimensions. Eur. Phys. J. B 94, 191 (2021). https://doi.org/10.1140/epjb/s10051-021-00198-5
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DOI: https://doi.org/10.1140/epjb/s10051-021-00198-5