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.

5 pages, 2 figures, with 5 page supplement

References in corpus (10)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Degenerate Quantum Gases with Spin-Orbit Coupling
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Bragg spectroscopy of a strongly interacting Fermi gas
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field
• Collective modes and electromagnetic response of a chiral superconductor
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• Hall conductivity in the normal and superconducting phases of the Rashba system with Zeeman field

Cited by in corpus (2)

• Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
• Interaction-Range Effects and Universality in the BCS-BEC Crossover of Spin-Orbit Coupled Fermi Gases