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A High‐Order Magnetoelastie Hamiltonian for the Conduction Electron Contribution in Cubic Rare‐Earth Metals
Author(s) -
Del Moral A.
Publication year - 1981
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.2221080106
Subject(s) - hamiltonian (control theory) , electron , condensed matter physics , physics , thermal conduction , cubic crystal system , magnetostriction , rare earth , conduction electron , quantization (signal processing) , ion , quantum mechanics , mathematical physics , quantum electrodynamics , magnetic field , chemistry , mathematics , mineralogy , mathematical optimization , algorithm
The effect of the conduction electrons on the magnetoelastic interaction due to the crystal field in cubic rare‐earth metals is treated within a model similar to the so called deformable ion one. The resultant effective Hamiltonian has the proper dependence on the irreducible strains and angular momentum operators as the usual second‐order Hamiltonian, but it is now modulated by an operator proportional to the unperturbed cubic crystal field Hamiltonian. This Hamiltonian is particularized for a symmetry quantization axis. Expressions for the magnetostrictive equilibrium strains are provided to show their peculiar temperature dependence.