Abstract
Heavy-fermion systems are described by the periodic Anderson model (PAM), which is studied within the self-consistent second-order U-perturbation treatment in the limit of high spatial dimensions d. The transport quantities are determined by the current-current response function, for which vertex corrections vanish in the limit d → ∞, which is already very close to the realistic dimension d = 3. The treatment properly reproduces Fermi-liquid behaviour and accounts for a transition from a coherent zero-temperature ground state with heavy quasiparticles to an incoherent scattering state without mass enhancement at high temperatures. The temperature dependence of the resistivity obtained within this approach is in excellent qualitative agreement with the experimental results that are typical for heavy-fermion systems.
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