Critical Point of a Weakly Interacting Two-Dimensional Bose Gas

2001/06/05 by Nikolay Prokof'ev, Oliver Ruebenacker, Boris Svistunov · 2 citations
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physrevlett.87.270402

4 pages (3 figures), Latex. Submitted to PRL

arxiv created 2001/06/05 · arxiv updated 2015/06/24

Abstract

We study the Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas using the concept of universality and numerical simulations of the classical |ψ|⁴-model on a lattice. The critical density and chemical potential are given by relations n_c=(mT/2πℏ²) ln(ξℏ²/ mU) and μ_c=(mTU/πℏ²) ln(ξ_μ ℏ²/ mU), where T is the temperature, m is the mass, and U is the effective interaction. The dimensionless constant ξ= 380 ± 3 is very large and thus any quantitative analysis of the experimental data crucially depends on its value. For ξ_μ our result is ξ_μ = 13.2 ± 0.4 . We also report the study of the quasi-condensate correlations at the critical point.

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