Three-dimensional correlated-fermion phase separation from analysis of the geometric mean of the individual susceptibilities

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, 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.

Minor changes with typos corrected

References in corpus (19)

• Theory of ultracold Fermi gases
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
• Phase diagram of a two-component Fermi gas with resonant interactions
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Asymmetric Two-component Fermion Systems in Strong Coupling
• Normal state of a polarized Fermi gas at unitarity
• BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• Phase separation in a polarized Fermi gas at zero temperature
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
• Determination of the Equation of State of a Two-Component Fermi Gas at Unitarity
• Phase Separation and an upper bound for $\Delta$ for Fermi fluids in the Phase Separation and an upper bound for $\Delta$ for Fermi fluids in the unitary regime
• Quantum rearrangement and self-consistent BCS-BEC crossover thermodynamics
• Comparative study of the finite-temperature thermodynamics of a unitary Fermi gas
• Ground state energy of unitary fermion gas with the Thomson Problem approach
• The virial equation of state for unitary fermion thermodynamics with non-Gaussian correlations
• $D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics

Cited by in corpus (2)

• The finite-temperature thermodynamics of a trapped unitary Fermi gas within fractional exclusion statistics
• Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics