Cooper-pair states for heavy fermions in the atomic representation: UPt/sub 3/

Journal Article · Thu Jan 01 00:00:00 EST 1987 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.35.155· OSTI ID:6974857

Appel, J; Hertel, P

The vertex equation for Cooper pairs of even or odd parity is developed in the Wannier representation taking into account the spin-orbit interaction of the periodic potential. We assume tightly bound d and f electrons and a short-range electron-electron interaction. The eigenvalue equation for the transition temperature T/sub c/ is reduced to a small set of coupled integral equations for the vertex eigenfunctions. These functions transform according to one and the same irreducible representation i/sub G/ of the crystal point group G, isomorphic to the factor group scrG/T/sub n/ (scrG = space group, T/sub n/ = group of primitive translations). The vertex functions depend on i/sub G/ and on the distance d between the two mates. The general symmetrization procedure is developed for the vertex function in the atomic representation or, equivalently, for the Cooper-pair orbitals. The application to the 5f orbitals of UPt/sub 3/ is presented for the contact pairs, the nearest-neighbor and the next-nearest-neighbor pairs. For all configurations, there are even- and odd-parity states by virtue of the inversion center between two U atoms in the nonsymmorphic lattice. The connection is established between the pair functions in the atomic representation and the Bloch representation used by other authors to study the k-space symmetry of superconductivity in heavy-fermion metals.

• Research Organization: I. Institut fuer Theoretische Physik der Universitaet Hamburg, D-2000 Hamburg 36, West Germany
• OSTI ID: 6974857
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 35:1
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
PLATINUM ALLOYS
COOPER PAIRS
SUPERCONDUCTIVITY
URANIUM ALLOYS
ELECTRON-ELECTRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTION RANGE
IRREDUCIBLE REPRESENTATIONS
L-S COUPLING
POTENTIALS
TRANSITION TEMPERATURE
VERTEX FUNCTIONS
ACTINIDE ALLOYS
ALLOYS
COUPLING
DISTANCE
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
FUNCTIONS
INTERACTIONS
INTERMEDIATE COUPLING
LEPTON-LEPTON INTERACTIONS
PARTICLE INTERACTIONS
PHYSICAL PROPERTIES
PLATINUM METAL ALLOYS
THERMODYNAMIC PROPERTIES
360104* - Metals & Alloys- Physical Properties
656100 - Condensed Matter Physics- Superconductivity