Two-dimensional Bose and Fermi gases beyond weak coupling

Autor:	Franca, Guilherme, LeClair, Andre, Squires, Joshua
Rok vydání:	2017
Předmět:	Condensed Matter - Quantum Gases Mathematical Physics
Zdroj:	J. Stat. Mech. (2017) 073103
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/aa79ac
Popis:	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. Comment: 20 pages, 8 figures. v2: pubished version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.09878 Zobrazit plný text záznamu View this record from Arxiv