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 $\Delta b_3$ and $\Delta b_4$ agree qualitatively, and in some regimes quantitatively, with previous numerical calculations for the unitary limit of three-dimensional Fermi gases.

arXiv comment7 pages, 4 figures

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Cited by in corpus (6)

• The fourth- and fifth-order virial coefficients from weak-coupling to unitarity
• Virial coefficients of trapped and un-trapped three-component fermions with three-body forces in arbitrary spatial dimensions
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
• Thermodynamics of rotating quantum matter in the virial expansion
• Toward an automated-algebra framework for high orders in the virial expansion of quantum matter