Analysis of Superconductivity Induced by On-site Coulomb Repulsion on Three-dimensional Cubic Lattice : Based on Third Order Perturbation Theory

概要

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We evaluate the dominant superconducting pairing symmetry in 3-dimensional cubic lattice structures within the third-order perturbation theory with respect to the on-site coulomb repulsion. We show that the third-order vertex correction term, which has a critical contribution to the p-wave state in the 2-dimensional systems, is also important in the 3-dimensional system. In the three dimensional systems, we obtain the superconsucting transition temperature T_c about one-order lower than that in 2-dimensional systems. This result suggests that magnetic ground states are dominant in the usual 3-dimensional system in accordance with the experimental observation. However there exist heavy fermion systems where the magnetic order is suppressed by the Kondo effect. Thus, our theory can be applied to the heavy fermion system and well explain the superconductivity in the system.
社団法人日本物理学会の論文
2003-04-15