三维关联费米子相分离的几何平均分析
Three-dimensional correlated-fermion phase separation from analysis of the geometric mean of the individual susceptibilities
摘要：
在平均场论不适用的情况下，提出了一种准高斯近似方案来研究强关联非平衡费米子热力学。非高斯相关性效应被理解为通过个体相关性的统计几何平均值来捕获。在三维么正费米子基态中，通过{ \em universal}非线性标度变换将物理化学势与单个费米动能联系起来.对于部分极化相位分离到完全极化，计算出的临界极化比为$P_C={[1-(1-ξ)^{6/5}]}/{[1+(1-ξ)^{6/5}]}\doteq 0.34$。$ξ=4/9$定义了对称基态能量密度与理想费米子气体的能量密度之比。
英文摘要：
A quasi-Gaussian approximation scheme is formulated to study the strongly correlated imbalanced fermions thermodynamics, where the mean-field theory is not applicable. The non-Gaussian correlation effects are understood to be captured by the statistical geometric mean of the individual susceptibilities. In the three-dimensional unitary fermions ground state, an {\em universal} non-linear scaling transformation relates the physical chemical potentials with the individual Fermi kinetic energies. For the partial polarization phase separation to full polarization, the calculated critical polarization ratio is $P_C={[1-(1-ξ)^{6/5}]}/{[1+(1-ξ)^{6/5}]}\doteq 0.34$. The $ξ=4/9$ defines the ratio of the symmetric ground state energy density to that of the ideal fermion gas.
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