Two-dimensional Bose and Fermi gases beyond weak coupling
arXiv:1703.09878 · doi:10.1088/1742-5468/aa79ac
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.
20 pages, 8 figures. v2: pubished version
References in corpus (6)
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- Observation of a two-dimensional Fermi gas of atoms
- Strongly Interacting Two-Dimensional Bose Gases
- Universal thermodynamics of a two-dimensional Bose gas
- A two-dimensional Fermi liquid with attractive interactions
- Virial coefficients for Bose and Fermi trapped gases beyond the unitary limit: an S-Matrix approach