Superconducting state of Sr 2 RuO 4 in the presence of longer-range Coulomb interactions
The symmetry of the superconducting condensate in Sr 2 RuO 4 remains controversial after recent experiments overturned the dominant chiral p-wave paradigm.We perform a theoretical study of pairing by spin- and chargefluctuations in Sr 2 RuO 4 , including the effects of spin-orbit coupling, and both local and longer-range Coulomb repulsion. The latter has important consequences for Sr 2 RuO 4 due to the near-degeneracy of symmetry-distinct pairing states in this material. Here we find leading nodal s', d xy , and helical (p) solutions, while both the g- and d x 2 –y 2 -wave channels remain noncompetitive. This suggests nodal time-reversal symmetry broken s' + id xy or s' + ip phases, promoted by longer-range Coulomb repulsion, as the most favorable candidates for Sr 2 RuO 4 . We analyze the properties of these states and show that the s' + id xy solution agrees with the bulk of available experimental data.