An Orbitally Degenerate Spin Fluctuation Model for Heavy Fermion Superconductivity

Abstract

In this paper, a generalization of standard spin fluctuation theory is considered by replacing the simple Hubbard interaction by the screened Hartree-Fock interaction for f electrons. This model is then used in both an LS and a JJ coupling scheme to construct the particle-particle scattering vertex in an on-site approximation. This vertex is shown to lead to an instability for a superconducting pair state which obeys Hunds rules, with L=5, S=1, and J=4. The degeneracy of this state is broken by anisotropy of the quasiparticle wavefunctions. Detailed calculations are presented for the case of $UP{t}_3$.

42 pages (plain TeX with macros), plus 11 postscript figures

References in corpus (3)

• Possible Realization of Odd Frequency Pairing in Heavy Fermion Compounds
• Hunds Rule Theory for Heavy Fermion Superconductors
• Effect of Matrix Elements on the Pairing Kernel in Exchange Mediated Superconductors

Cited by in corpus (8)

• Orbital ordering phenomena in $d$- and $f$-electron systems
• Construction of microscopic model for f-electron systems on the basis of j-j coupling scheme
• Quasiparticle spin susceptibility in heavy-fermion superconductors : An NMR study compared with specific heat results
• Spin-triplet s-wave local pairing induced by Hund's rule coupling
• Odd Parity and Line Nodes in Heavy Fermion Superconductors
• Calculation of Effective Coulomb Interaction for $P{r}^{3+}$, $U^{4+}$, and $UP{t}_3$
• Odd-Parity Triplet Pair Induced by Hund's Rule Coupling
• Quasiparticle Interactions for f${}^2$-Impurity Anderson Model with Crystalline-Electric-Field: Numerical Renormalization Group Study