Third- and fourth-order virial coefficients of harmonically trapped fermions in a semiclassical approximation
Abstract
Using a leading-order semiclassical approximation, we calculate the third- and fourth-order virial coefficients of nonrelativistic spin-1/2 fermions in a harmonic trapping potential in arbitrary spatial dimensions, and as functions of temperature, trapping frequency, and coupling strength. Our simple, analytic results for the interaction-induced changes Δ b3 and Δ b4 agree qualitatively, and in some regimes quantitatively, with previous numerical calculations for the unitary limit of three-dimensional Fermi gases.
- Publication:
-
Physical Review A
- Pub Date:
- December 2019
- DOI:
- 10.1103/PhysRevA.100.063626
- arXiv:
- arXiv:1908.00070
- Bibcode:
- 2019PhRvA.100f3626M
- Keywords:
-
- Condensed Matter - Quantum Gases
- E-Print:
- 7 pages, 4 figures