Abstract
A recently developed new perturbational approach to the nonlocal correlations in the Anderson lattice model is used to study low temperature properties. These include the one particle excitation spectra and possible instabilities towards magnetic or superconducting states. The method rests upon a systematic and in principle exact incorporation of the large interaction energy, the Coulomb repulsionU between local electrons on the same lattice site, into the low energy dynamics of quasiparticles and phonons. The resulting dressing of quasiparticles and their resulting effective interactions are treated in the frame of established approximations: The former in NCA, self-consistently adapted to the lattice (LNCA), and the interacting low energy problem with help of ladder summations for the two-particle scattering. Numerical results for the one particle properties are presented, which show an interesting collective effect in the formation of a Kondo lattice state. Stoner-like expressions for various susceptibilitites are derived. Criteria for the occurrence of magnetic and different superconducting phases are given which clearly exhibit the role of quasiparticle band structure, electron-electron interaction and electronphonon interaction.
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This work was performed within the research program of SFB 252 “Elektronisch hochkorrelierte metallische Materialien”
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Grewe, N., Pruschke, T. & Keiter, H. Investigation of the low temperature behaviour of the Anderson lattice. Z. Physik B - Condensed Matter 71, 75–94 (1988). https://doi.org/10.1007/BF01310847
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DOI: https://doi.org/10.1007/BF01310847