Application of renormalized RPA to polarized Fermi gases

Abstract

We consider a spin imbalanced Fermi gas at zero temperature in the normal phase on the BCS side of the BCS-BEC crossover and around unitarity. We compute the critical polarization for pairing, the correlated occupation numbers and the contact in an extension of particle-particle RPA (also called non self-consistent \textit{T}-matrix approach or ladder approximation). The so-called renormalized RPA consists in computing the \textit{T} matrix with self-consistently determined occupation numbers. The occupation numbers are determined either by keeping the self-energy only to first order or by resumming the Dyson equation. In this way, the result for the critical polarization, strongly overestimated in standard RPA, is clearly improved. We also discuss some problems of this approach.

arXiv comment10 pages, 12 figures; added figure, phase diagram extension, revisit the section on the FFLO phase, added references

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• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
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• Feasibility of a Fulde-Ferrell-Larkin-Ovchinnikov superfluid Fermi atomic gas
• BCS-BEC Crossover Effects and Pseudogap in Neutron Matter
• The normal state of attractive Fermi gases from coupled-cluster theory
• Number conservation in odd-particle number random phase approximation and extensions