Abstract
We study instability of a singlet and triplet pairing states in a quasi-two-dimensional Hubbard model on the basis of the third-order perturbation theory. Comparing the result obtained here with that is obtained by using only the second-order effective interaction, a stable p-wave state spreads from low to intermediate density region. The vertex correction of the third-order effective interaction makes a d x 2− y 2 -wave state for the high density near half-filling. On the other hand, the third-order term makes the p-wave state dominant.
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