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Magnetic stability at 0 K of a simple cubic ferromagnetic array of pseudo‐spin S = ½ with anisotropic exchange between nearest neighbours
Author(s) -
Belorizky E.,
Casalegno R.,
Fries P.
Publication year - 1976
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.2220770210
Subject(s) - condensed matter physics , ferromagnetism , physics , cubic crystal system , spin (aerodynamics) , ground state , spin wave , symmetry (geometry) , exchange interaction , anisotropy , magnetization , zero point energy , magnetic field , quantum mechanics , mathematics , geometry , thermodynamics
The spin wave spectrum is calculated of a pseudo‐spin S = ½ system forming a simple cubic ferromagnetic array, by considering the most general interaction between nearest neighbours allowed by a fourfold order symmetry of the bond ℋ ij = J ‖ S iz S jz + J ⊥( S ix S jz + + S iy , S jy ) for a pair ( i, j ) oriented along the z‐axis. It is shown that, in zero external magnetic field, a ferromagnetic order is allowed at 0 K only for J ‖ and J ⊥ both negative, with the easy direction of magnetization along a 0. [100] axis. The zero point energy of the spin waves and the mean spin deviation in the approximate ferromagnetic ground state are also studied.