Journal of Shanghai University(Natural Science Edition) ›› 2019, Vol. 25 ›› Issue (6): 914-923.doi: 10.12066/j.issn.1007-2861.2150

• Research Articles • Previous Articles     Next Articles

Thermo dynamic properties of spin-orbit-coupled two-dimensional Fermi gases

Chenggong LIANG, Yunbo ZHANG()   

  1. Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • Received:2019-05-05 Online:2019-12-30 Published:2019-12-31
  • Contact: Yunbo ZHANG E-mail:ybzhang@sxu.edu.cn

Abstract:

Using the mean-field theory, we investigate the thermodynamic properties of two-dimensional Fermi gases with spin-orbit coupling and Zeeman field. By solving the gap and particle-number equations, we discuss the influences of spin-orbit coupling and Zeeman field on the isothermal compressibility, pressure, superfluid order parameter and entropy, and find some anomalous behaviors different from the three-dimensional systems. It is indicated that due to the influences of spin-orbit coupling and Zeeman field, the isothermal compressibility and the pressure do not change with the interatomic interactions in the Bose-Einstein condensate (BEC) limits, which is distinctly different from the case of three-dimensional systems, where these two thermodynamic quantities change linearly with the interactions. In the Bardeen, Cooper and Schrieffer (BCS) limits, the isothermal compressibility and the pressure sensitively depends on the strengths of spin-orbit coupling and Zeeman field. In appropriate parameters, by adjusting the spin-orbit coupling and the Zeeman field we also observe non-monotonic changes of the isothermal compressibility, pressure, superfluid order parameter and entropy. In addition, it is found that the spin-orbit coupling and the Zeeman field leads to opposite changes of the entropy between the normal phase and the superfluid phase.

Key words: spin-orbit coupling, superfluid, isothermal compressibility, entropy, pressure

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