中文摘要：

用平均场理论研究了二维质量不相等费米气系统的零温特性,该系统具有equal-Rashba-Dresselhaus（ERD）型自旋轨道耦合作用和Zeeman场。在该系统中存在三种不同的超流相（US-0相、US-1相、US-2相）,我们通过数值分析能隙方程和粒子数方程组成的自洽方程组,发现二维费米气系统的质量相差越大,Zeeman场对超流序参量Δ的抑制作用就会越强。在弱吸引相互作用区域,随着自旋轨道耦合强度的增加,US-2拓扑超流相会逐渐收缩。自旋轨道耦合强度一定情况下,质量比0〈λ≤1时,只有在弱吸引相互作用区域存在US-2拓扑超流相;当质量比λ〉1时,在弱相互作用区域和强相互作用区域都存在US-2拓扑超流相。

英文摘要：

We use the mean-field theory to investigate zero temperature characteristic in a two-dimensional （2-D） mass-imbalanced Fermi gases with equal-Rashba-Dresselhaus （ERD） spin-orbit coupling （SOC） and Zeeman field. The system exists three topologically distinct superfluid phases （US-0 phase, US-1 phase, US-2 phase）. Through analying the gap and atom number equations numerically, we find that superfluid order parameter can be suppressed more stronger by a Zeeman field as the mass difference increases. With increasing SOC, the weak atractive interaction region of the US-2 phase shrinks. When there is a finite SOC of the ERD type, 0〈λ〈1,only in the weak atractive interaction region US-2 topologically superfluid phases exists;λ〉1,in weak and strong atractive interaction region US-2 topologically superfluid phases exists.