Eur. Phys. J. B 83, 445-450 (2011)
https://doi.org/10.1140/epjb/e2011-20354-0

Regular Article

BCS-BEC crossover in mix-dimensional Fermi gases

¹ Institute for Theoretical Physics and Department of Modern Physics University of Science and Technology of China, Hefei 230026, P.R. China
² Department of Experiment Teaching, Yancheng Institute of Technology, Yancheng 224051, P.R. China

^a e-mail: slwan@ustc.edu.cn

Received: 8 May 2011
Received in final form: 20 September 2011
Published online: 24 October 2011

Abstract

We investigate a mix-dimensional Fermi-Fermi mixtures in which one species is confined in two-dimensional (2D) space while the other is free in three-dimensional space (3D). We determine the superfluid transition temperature T_c for the entire BCS-BEC crossover including the important effects of noncondensed pairs. We find that the transition temperature reduces while the imbalance of mass is increased or lattice spacing is reduced. In spin imbalance case, the stability of superfluid is sharply destroyed by increasing the polarization.