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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. Those conclusions may be relevant to physics of superconducting triangular cobaltates and organics. |
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