Abstract
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 ${C}_{6v}$ for the triangular lattice is lowered to the symmetry of ${C}_{3v}$. We show that spin fluctuations definitely favor the $p$-wave bound state which transforms according to the $E$ representation of ${C}_{3v}$. Since the inversion is not an element of ${C}_{3v}$, 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.
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