Spin fluctuations favor p-wave pairing in a weakly doped canted antiferromagnet on the triangular lattice

We analyze the mechanism of superconductivity generation by spin fluctuations in the electron-doped canted antiferromagnet on the triangular lattice. The results of that analysis are also valid if an additional isotropic attraction is active but the anisotropic spin-fluctuation mediated force decides the symmetry of the two-particle bound state. The formation of the bound state is the prerequisite of pairing. In the presence of the canted antiferromagnetic state, the symmetry of the point group C-6 upsilon for the triangular lattice is lowered to the symmetry of C-3 upsilon. We show that spin fluctuations definitely favor the p-wave bound state which transforms according to the E representation of C-3 upsilon. Since the inversion is not an element of C-3 upsilon, the parity is not a good quantum number and thus the predicted paired state will be a mixture of singlet and triplet. These conclusions may be relevant to physics of superconducting triangular cobaltates and organics.