Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases

Abstract

We derive expressions for spin and density correlation functions in the (greatly enhanced) pseudogap phase of spin-orbit coupled Fermi superfluids. Density-density correlation functions are found to be relatively insensitive to the presence of these Rashba effects. To arrive at spin-spin correlation functions we derive new $f$-sum rules, valid even in the absence of a spin conservation law. Our spin-spin correlation functions are shown to be fully consistent with these $f$-sum rules. Importantly, they provide a clear signature of the Rashba band-structure and separately help to establish the presence of a pseudogap.

arXiv comment5 pages, 2 figures, with 5 page supplement

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• When Superconductivity Crosses Over: From BCS to BEC
• Quantum Geometric Contributions to the BKT Transition: Beyond Mean Field Theory
• Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
• Topological effects on transition temperatures and response functions in three-dimensional Fermi superfluids
• Fluctuation Theory of Rashba Fermi Gases
• Interaction-Range Effects and Universality in the BCS-BEC Crossover of Spin-Orbit Coupled Fermi Gases