Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation

C. R. Shill; J. E. Drut

doi:10.1103/physreva.98.053615

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arXiv · 1808.07836

Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation

C. R. Shill·J. E. Drut

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Abstract

We map out the interaction effects on the first six virial coefficients of one-dimensional Fermi gases with zero-range attractive and repulsive interactions, and the first four virial coefficients of the two-dimensional analog with attractive interactions. To that end, we use two non-perturbative stochastic methods: projection by complex stochastic quantization, which allows us to determine high-order coefficients at weak coupling and estimate the radius of convergence of the virial expansion; and a path-integral representation of the virial coefficients. To complement our numerical calculations, we present leading-order results in a semiclassical lattice approximation, which we find to be surprisingly close to the expected answers.

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C. R. Shill, J. E. Drut. 2018-08-23. Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation. https://doi.org/10.1103/physreva.98.053615

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