Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-03-31
Sci China Ser G 52 (2009) 1324-1329
Physics
Condensed Matter
Statistical Mechanics
Minor changes with typos corrected
Scientific paper
10.1007/s11433-009-0174-2
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 $P_C={[1-(1-\xi)^{6/5}]}/{[1+(1-\xi)^{6/5}]}\doteq 0.34$. The $\xi=4/9$ defines the ratio of the symmetric ground state energy density to that of the ideal fermion gas.
Chen Ji-sheng
Qin Fang
Wang Yan-ping
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