Pairing of fermions under spin-orbit coupling in two dimensions

We present a theoretical approach to the problem of two-dimensional fermion pairing under spin-orbit (SO) coupling and Zeeman interaction with an external magnetic field. We introduce a generic pairing Hamiltonian operating in the Hilbert space spanning free pairs and bare two-body bound states. The SO coupling of Rashba or Dresselhaus type provides p-wave dressing of an s-wave spin-singlet bound state by continua in the triplet scattering channels. In the strong-coupling (Bose-Einstein condensate) limit of the many-body fermion system at zero temperature our theory maps onto the two-channel Fano-Anderson model of a spinless resonant p-wave superfluid.

Automated summary

We present a theoretical approach to the problem of two-dimensional fermion pairing under spin-orbit coupling and Zeeman interaction with an external magnetic field. Our theory maps onto the two-channel Fano-Anderson model of a spinless resonant p-wave superfluid in the strong-coupling limit of the many-body fermion system at zero temperature.