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Two‐Centre Exchange Interactions between Orbitally Degenerate Ions. I. One Ion in Orbitally Degenerate State
Author(s) -
Eremin M. V.,
Kalinenkov V. N.,
Rakitin Yu. V.
Publication year - 1978
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.2220890220
Subject(s) - degenerate energy levels , pauli exclusion principle , hamiltonian (control theory) , ion , anisotropy , isotropy , physics , chemistry , atomic physics , exchange interaction , quantum mechanics , condensed matter physics , mathematics , mathematical optimization , ferromagnetism
A multielectron theory of exchange interactions in transition metal ion pairs in cubic matrices and ions in orbitally degenerate states is developed. The orbitally dependent part of the exchange Hamiltonian is expressed by Pauli operators determined in the orbital space for the case of an orbital doublet and by fictitious orbital operators L̃ = 1 in the case of a triplet state. It is shown that the anisotropic exchange parameters may be estimated from isotropic ones. The theory described is compared with experiment.