Band model of heavy-fermion superconductors

The proposed model describes thermodynamic properties of heavy-fermion superconductors in the normal and superconducting states in terms of the band structure without using the Kondo mechanism of increasing the density of states. The model Hamiltonian describes two-and three-band metals, the band parameters being phenomenological. One-particle hybridization of the bands leads to a nonphonon effective attraction between electrons in one of the band, suggesting the possibility of the superconducting transition. Anomalously large values of heat capacity and magnetic susceptibility in the normal phase and low temperatures of the superconducting transition can be described in a self-consistent manner. The nonmonotonic dependences C(T) and χ(T) are due to the temperature dependence μ(T) of the chemical potential in a multi-band system. Under simple assumptions, the model reproduces qualitatively the behavior of thermodynamic characteristics of heavy-fermion conductors.

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