Three-dimensional correlated-fermion phase separation from analysis of the geometric mean of the individual susceptibilities |
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Authors: | CHEN JiSheng QIN Fang & WANG YanPing Physics |
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Institution: | (1) Physics Department, Central China Normal University, Wuhan, 430079, China |
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Abstract: | 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, a universal nonlinear
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 δ
C = 1−(1−ξ)6/5]/1+(1−ξ)6/5] ≐ 0.34. ξ = 4/9 gives the ratio of the symmetric ground state energy density to that of the ideal fermion gas.
Supported by the National Natural Science Foundation of China (Grant Nos. 10875050 and 10675052), the Fund of Central China
Normal University, and the Foundation of Ministry of Education of China (Grant No. IRT0624) |
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Keywords: | phase separation geometric mean susceptibility quasi-Gaussian approximation |
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