Magnetic Susceptibility of the Orbitally Degenerate (J= 5/2) Periodic Anderson Model - Analysis on the Basis of the Fermi Liquid Theory

Abstract

In the orbitally degenerate ($J=5/2$) Periodic Anderson Model, the magnetic susceptibility is composed of both the Pauli term and the Van Vleck term, as is well known. The former is strongly enhanced by the strong correlation between $f$-electrons. But, for the latter, the influence of the strong correlation has been obscure for years. In this paper we give the solution of the longstanding problem. With the aid of the $d=\infty$ approximation, we study this problem on the basis of the Fermi liquid theory with degenerate orbitals, taking account of all the vertex corrections in a consistent way. As a result, we obtain the simple expression for the magnetic susceptibility, and show unambiguously that the Van Vleck term is also highly enhanced} in the strong correlation regime. This fact explains naturally the enhanced magnetic susceptibility observed in many insulating systems (i.e., Kondo insulator). Moreover, we show that the Wilson ratio takes a value around 1 in the metallic system, in good agreement with experiments.

to be published in J. Phys. Soc. Jpn

Cited by in corpus (15)

• Band-width control in a perovskite-type 3d^1 correlated metal Ca_{1-x}Sr_xVO_3. I. Evolution of the electronic properties and effective mass
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Origin of Orthorhombic Transition, Magnetic Transition, and Shear Modulus Softening in Iron Pnictide Superconductors: Analysis based on the Orbital Fluctuation Theory
• Intrinsic anomalous Hall effect in ferromagnetic metals studied by the multi d-orbital tight-binding model
• Generalized Kadowaki-Woods Relation in Heavy Fermion Systems with Orbital Degeneracy
• Quasiparticle spin susceptibility in heavy-fermion superconductors : An NMR study compared with specific heat results
• Linear Response Theory for Shear Modulus $C_{66}$ and Raman Quadrupole Susceptibility: Significant Evidence for Orbital Nematic Fluctuations in Fe-Based Superconductors
• Intrinsic Spin and Orbital Hall Effects in Heavy Fermion Systems
• Theory of Anomalous Hall Effect in a Heavy fermion System with a Strong Anisotropic Crystal Field
• Crystalline-Electric-Field Effect on the Resistivity of Ce-based Heavy Fermion Systems
• Electronic State and Magnetic Susceptibility in Orbitally Degenerate (J=5/2) Periodic Anderson Model
• Absence of Hybridization Gap in Heavy Electron Systems and Analysis of YbAl3 in terms of Nearly Free Electron Conduction Band
• Half-Heusler thermoelectric materials: NMR studies
• Theory of Charge Order and Heavy-Electron Formation in the Mixed-Valence Compound KNi${}_2$Se${}_2$
• Interplay of Spin-Orbit Interaction and Electron Correlation on the Van Vleck Susceptibility in Transition Metal Compounds