Perturbation Expansion for the Asymmetric Anderson Hamiltonian

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Abstract
The single orbital Anderson Hamiltonian with d-orbital fixed to the Fermi level (εd = 0) is discussed by a perturbation method with respect to electron correlation U. In this model the Coulomb repulsion U reduces the occupied d-electron number and, on the other hand, enhances the d-electron effective mass and normalized susceptibility (∼Xs). As the result of competition of these effects, the specific heat at low temperature decreases and the magnetic susceptibility increases with U for U < Δ and then decreases for large U.

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