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Anomalous Hall Effect in Cerium Based Kondo Systems
Author(s) -
Prabhu R. B.,
Barbosa A. F.
Publication year - 1993
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221780220
Subject(s) - cerium , condensed matter physics , hall effect , constant (computer programming) , kondo effect , mixing (physics) , physics , scattering , field (mathematics) , amplitude , function (biology) , crystal (programming language) , thermal conduction , electron , quantum electrodynamics , electrical resistivity and conductivity , quantum mechanics , chemistry , mathematics , inorganic chemistry , evolutionary biology , computer science , pure mathematics , biology , programming language
A self‐consistent perburbation theory to calculate magnetoresistivity, susceptibility, and the Hall constant for the crystal field split cerium based systems is employed. In this theory, excitonic and other correlations are included self‐consistently. The resulting non‐linear integral equations for the conduction electron scattering amplitude are solved perturbatively retaining terms up to fourth order in V , the Anderson mixing interaction. We calculate the Hall constant as a function of temperature for various positions of the f‐level. We compare our results with the experimental data on cerium based compounds.