Cooperation of correlated hopping and spin-orbit coupling in superconductors

In two-dimensional crystals, crystalline inversion asymmetry or Fermi surface instabilities can lead to the the electronic spin degeneracy being lifted by Rashba spin-orbit coupling. This has unique implications for superconductivity, where spin splitting ensures that Cooper pairs form in mixed singlet-triplet states. In this talk we explore a two-dimensional tight-binding model on a square lattice with an on-site interaction, Rashba spin-orbit coupling as well as a correlated hopping term arising from an off-diagonal part of the electron-electron interaction. It is known that correlated hopping leads to superconductivity when the Fermi level is near the top of the band, even in the presence of strong on-site repulsion. Here we show that the addition of Rashba spin-orbit coupling enhances the critical temperature and tunnelling asymmetry of this model.