Composite Spin-Triplet Superconductivity in an $SU(2)\otimes SU(2)$ Symmetric Lattice Model

Frithjof B Anders

doi:10.1140/epjb/e2002-00195-8

paper

Composite Spin-Triplet Superconductivity in an $S U (2) \otimes S U (2)$ Symmetric Lattice Model

arXiv:cond-mat/0204469 · doi:10.1140/epjb/e2002-00195-8

Abstract

The two-channel Anderson lattice model which has $S U (2) \otimes S U (2)$ symmetry is of relevance to understanding of the magnetic, quadrupolar and superconducting phases in U $_{1 - x}$ Th $_{x}$ Be $_{13}$ or Pr base skutterudite compounds such as PrFe $_{4}$ P $_{12}$ or PrOs $_{4}$ Sb $_{12}$ . Possible unconventional superconducting phases of the model are explored. They are characterized by a composite order parameter comprising of a local magnetic or quadrupolar moment and a triplet conduction electron Cooper-pair. This binding of local degrees of freedom removes the entropy of the non Fermi-liquid normal state. We find superconducting transitions in the intermediate valence regime which are suppressed in the stable moment regime. The gap function is non analytic and odd in frequency: a pseudo-gap develops in the conduction electron density of states which vanishes as $∣ ω ∣$ close to $ω = 0$ . In the strong intermediate valent regime, the gap function acquires an additional $\k$-dependence.

20 pages, 12 figures, latex EPJ format. Accepted for publication as Eur.Phys.J.B

Composite Spin-Triplet Superconductivity in an SU(2)⊗SU(2) Symmetric Lattice Model

Abstract

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Composite Spin-Triplet Superconductivity in an $S U (2) \otimes S U (2)$ Symmetric Lattice Model