Spin-imbalanced homogeneous atomic fermi gas in two dimensions

H. A. Al-Khzon () and M. K. Al-Sugheir
Additional contact information
H. A. Al-Khzon: Imam Mohammad Ibn Saud Islamic University
M. K. Al-Sugheir: The Hashemite University

The European Physical Journal B: Condensed Matter and Complex Systems, 2021, vol. 94, issue 9, 1-13

Abstract: 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 $$g_{0}$$ 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 $$\mu ~$$ μ and U decrease as the box width increases. In addition, U increases linearly with $$g_{0}$$ g 0 in the repulsive interaction case and decreases as the magnitude of $$g_{0}$$ 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 $$\mu $$ μ 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.

Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-021-00198-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:94:y:2021:i:9:d:10.1140_epjb_s10051-021-00198-5

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-021-00198-5

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().