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Journal of Physics and Chemistry of Solids

Third-order perturbation analysis for p- and d-wave pairing states in two-dimensional repulsive Hubbard model

H. Fukazawa, Kōsaku Yamada

Published Jun 1, 2002• 0 citations
Publisher
DOI
10.1016/s0022-3697(02)00066-5

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We predict that the spin-polarized electrons in a two-dimensional triangular lattice with strong electron-electron repulsion gives rise to f-wave pairing. The key point is that the first-order interaction, which is usually pair-breaking, vanishes or nearly vanishes in certain f-wave channels due to symmetry constraints. As a result, these f-wave pairing channels are governed by the subleading-order processes which enable pairing when the perturbation theory is controlled. We illustrate this using the Hubbard model on the triangular lattice with on-site and nearest-neighbor repulsion, where we find a $T_c\sim 1\% $ of electron's bandwidth. For a general screened interaction, the same idea works asymptotically, but a third-order calculation is needed to fully determine the strength of f-wave pairing.