English

Spin-orbit coupled superconductivity: Rashba-Hubbard model on the square lattice

Superconductivity 2020-12-02 v2 Strongly Correlated Electrons

Abstract

The weak-coupling renormalization group method is an asymptotically exact method to find superconducting instabilities of a lattice model of correlated electrons. Here we extend it to spin-orbit coupled lattice systems and study the emerging superconducting phases of the Rashba-Hubbard model. Since Rashba type spin-orbit coupling breaks inversion symmetry, the arising superconducting phases may be a mixture of spin-singlet and spin-triplet states. We study the two-dimensional square lattice as a paradigm and discuss the symmetry properties of the arising spin-orbit coupled superconducting states including helical spin-triplet superconductivity. We also discuss how to best deal with split energy bands within a method which restricts paired electrons to momenta on the Fermi surface.

Keywords

Cite

@article{arxiv.2004.12624,
  title  = {Spin-orbit coupled superconductivity: Rashba-Hubbard model on the square lattice},
  author = {Sebastian Wolf and Stephan Rachel},
  journal= {arXiv preprint arXiv:2004.12624},
  year   = {2020}
}

Comments

15 pages, 12 figures

R2 v1 2026-06-23T15:06:55.532Z