Quasi-two-dimensional Fermi gases at finite temperatures

Quasi-two-dimensional Fermi gases at finite temperatures
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DOI:
10.1103/physrevb.90.214503
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发表时间:
2014-08
期刊:
影响因子:
3.7
通讯作者:
A. Fischer;M. Parish
A. Fischer;M. Parish
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Fischer;M. Parish

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© 2014美国物理学会。我们考虑具有短程吸引相互作用的费米气体,该气体被紧谐振势沿着一个方向限制。对于这种准二维(准2D)费米气体,我们计算的压力状态方程,射频频谱,和超流临界温度Tc使用平均场理论,占所有的谐波限制的能级。我们对Tc的计算提供了准二维几何的无量纲准则的自然推广,并且在限制频率ωz→0的极限下,它正确地简化为从局域密度近似导出的3D表达式。此外,我们的研究结果表明,Tc可以通过放松限制和扰动远离2D限制。
© 2014 American Physical Society.We consider a Fermi gas with short-range attractive interactions that is confined along one direction by a tight harmonic potential. For this quasi-two-dimensional (quasi-2D) Fermi gas, we compute the pressure equation of state, radiofrequency spectrum, and the superfluid critical temperature Tc using a mean-field theory that accounts for all the energy levels of the harmonic confinement. Our calculation for Tc provides a natural generalization of the Thouless criterion to the quasi-2D geometry, and it correctly reduces to the 3D expression derived from the local density approximation in the limit where the confinement frequency ωz→0. Furthermore, our results suggest that Tc can be enhanced by relaxing the confinement and perturbing away from the 2D limit.