Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
arXiv:1808.07836 · doi:10.1103/PhysRevA.98.053615
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.
arXiv commentSmall typos and side comment fixed. Results and conclusions unchanged
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