Two-dimensional Bose and Fermi gases beyond weak coupling
Quantum Gases
2017-07-18 v2 Mathematical Physics
math.MP
Abstract
Using a formalism based on the two-body S-matrix we study two-dimensional Bose and Fermi gases with both attractive and repulsive interactions. Approximate analytic expressions, valid at weak coupling and beyond, are developed and applied to the Berezinskii-Kosterlitz-Thouless (BKT) transition. We successfully recover the correct logarithmic functional form of the critical chemical potential and density for the Bose gas. For fermions, the BKT critical temperature is calculated in BCS and BEC regimes through consideration of Tan's contact.
Cite
@article{arxiv.1703.09878,
title = {Two-dimensional Bose and Fermi gases beyond weak coupling},
author = {Guilherme Franca and Andre LeClair and Joshua Squires},
journal= {arXiv preprint arXiv:1703.09878},
year = {2017}
}
Comments
20 pages, 8 figures. v2: pubished version