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• W2068500548 abstract "We have studied the mean-field quasiparticle states and quasiparticle interactions in the infinite-U Anderson lattice in the presence of crystal electric field of cubic symmetry. We assume a lattice of 4f sites, each with a total angular momentum of J=5/2 that is split into a low-lying doublet of ${mathrm{ensuremath{Gamma}}}_{7}$ symmetry and an excited quartet of ${mathrm{ensuremath{Gamma}}}_{8}$ symmetry. Slave bosons on the 4f sites create and destroy 4${mathit{f}}^{0}$ configurations and Lagrange multipliers at each 4f site enforce the occupancy constraint due to the infinite Coulomb repulsion. The quasiparticle states are strongly peaked at the points where the Fermi surface intersects the axes of the cubic Brillouin zone, leading to what we call ``hot spots.'' We have calculated the effective magnetic moment and the Wilson ratio for these anisotropic quasiparticle states. Quasiparticle interactions are due to exchange of 4f density fluctuations. We use the analytic tetrahedron method to calculate the dressed (to order 1/N) boson Green functions. In weak coupling, the exchange of the dressed bosons gives rise to a superconducting instability of ${mathit{T}}_{1mathit{g}}$, xy(${mathit{x}}^{2}$-${mathit{y}}^{2}$), symmetry. The ${mathit{A}}_{1mathit{g}}$, ``s-wave,'' channel has strongly repulsive interactions and hence no pairing instability. The ${mathit{T}}_{2mathit{g}}$ channel exhibits weakly repulsive interactions. Average quasiparticle interactions in the ${mathit{E}}_{mathit{g}}$, ${mathit{x}}^{2}$-${mathit{y}}^{2}$, 3${mathit{z}}^{2}$-${mathit{r}}^{2}$, channel fluctuate strongly as a function of the number of tetrahedra used to calculate the bosonic Green functions, lending only weak evidence for an instability of ${mathit{E}}_{mathit{g}}$ symmetry." @default.
• W2068500548 created "2016-06-24" @default.
• W2068500548 creator A5062146847 @default.
• W2068500548 date "1995-01-01" @default.
• W2068500548 modified "2023-10-14" @default.
• W2068500548 title "Superconducting instability in the infinite-UAnderson lattice in the presence of crystal electric fields" @default.
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• W2068500548 doi "https://doi.org/10.1103/physrevb.51.470" @default.
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