Role of Vertex Correction and Dimensionality on Superconductivity Induced by On-site Coulomb Repuls ion

Details Role of Vertex Correction and Dimensionality on Superconductivity Induced by On-site Coulomb Repuls ion Role of Vertex Correction and Dimensionality on Superconductivity Induced by On-site Coulomb Repuls ion

2002-08-04

arxiv.org/abs/cond-mat/0208063v2

Physics

Condensed Matter

Strongly Correlated Electrons

27 pages, 14 figures. submitted to J. Phys. Soc. Jpn

Scientific paper

We evaluate the dominant superconducting pairing symmetry in some 3-dimensional cubic lattice struct ures within the third-order perturbation theory with respect to the on-site coulomb repulsion. We cl arify whether the vertex correction term, which has a critical contribution to the p-wave state in t he 2-dimensional systems, is also important in the 3-dimensional system. We finally investigate the interplay between dimensionality and the vertex correction to grasp common features independent of t he lattice structures in the mechanism of the superconductivity.

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