Third- and Fourth-Order Virial Coefficients of Harmonically Trapped Fermions in a Semiclassical Approximation

Authors

K. J. Morrell, College of Arts & Sciences
Casey E. Berger, College of Arts & SciencesFollow
J. E. Drut, College of Arts & Sciences

Document Type

Article

Publication Date

12-12-2019

Publication Title

Physical Review A

Abstract

Using a leading-order semiclassical approximation, we calculate the third- A nd 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 Δb3 and Δb4 agree qualitatively, and in some regimes quantitatively, with previous numerical calculations for the unitary limit of three-dimensional Fermi gases.

Volume

100

Issue

6

DOI

10.1103/PhysRevA.100.063626

ISSN

24699926

Rights

©2019 American Physical Society

Comments

Archived as published.

Recommended Citation

Morrell, K. J.; Berger, Casey E.; and Drut, J. E., "Third- and Fourth-Order Virial Coefficients of Harmonically Trapped Fermions in a Semiclassical Approximation" (2019). Physics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/phy_facpubs/101