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On the Atomic Limit of the s–f Model
Author(s) -
Karpenko B. V.,
Kuznetsov A. V.,
Falkovskaya L. D.,
Budrina G. L.
Publication year - 1985
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.2221310220
Subject(s) - condensed matter physics , coulomb , magnetization , curie–weiss law , paramagnetism , electron , partition function (quantum field theory) , physics , magnetic susceptibility , magnetic field , exchange interaction , curie temperature , limit (mathematics) , curie , chemistry , ferromagnetism , quantum mechanics , mathematics , mathematical analysis
The atomic limit of the s–f model for a system in an external magnetic field is studied. By direct calculation of traces expressions are obtained for the first time for the partition function, average number of electrons, chemical potential, magnetization, susceptibility, mean energy, and specific heat at arbitrary values of electron concentration, spin, temperature, magnetic field, and exchange and Coulomb interaction parameters. It is shown that the system behaving itself in many respects as an ensemble of “quasi‐particles” of four types, i.e. holes, down‐units, up‐units, and pairs is always paramagnetic and the susceptibility may obey both, Curie law and Curie‐Weiss law. At subnormally small intra‐atomic interactions Schottky anomalies may be observed in the system.