Perturbation Theory on the Superconductivity of Heavy Fermion Superconductor UPd_2Al_3

Abstract

We investigate the superconducting mechanism and the transition temperature of heav y fermion superconductor UPd_2Al_3 on the basis of a single band two-dimensional Hubbard model on triangular lattice, whi ch represents the most heavy band of UPd_2Al_3. Both normal and anomalous self-energies are calculated up to third order with respect to the Coulomb repulsion U between itinerant electrons. The superconducting transition temperature is obtained by solving the Eliashberg's equation. Reasonable transition temperatures are obtained for moderately large U. It is fou nd that the momentum and frequency dependence of spin fluctuations given by RPA-like terms gives rise to the d-wave pairing state, while the vertex correction terms are important for obtaining reasonable transition tempe ratures. These results seem to show that the superconductivity in UPd_2Al_3 can be explained by the perturbation theory with respect to U.

arXiv comment26 pages

References in corpus (1)

• Perturbation Theory on the Transition Temperature and Electronic Properties of Organic Superconductor

Cited by in corpus (6)

• Theory of Superconductivity in Strongly Correlated Electron Systems
• Superconducting Gap Function in Antiferromagnetic Heavy-Fermion UPd_2Al_3 Probed by Angle Resolved Magnetothermal Transport Measurements
• A Mechanism of Spin-Triplet Superconductivity in Hubbard Model on Triangular La ttice: Application to UNi_2Al_3
• Superconductivity in heavy fermion compounds
• Field-angle resolved specific heat and thermal conductivity in the vortex phase of UPd_2Al_3
• Interlayer spin-singlet pairing induced by magnetic interactions in an antiferromagnetic superconductor