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The Validity of the Tenth‐Power Law of the Magnetic Crystal Energy
Author(s) -
Hausmann K.
Publication year - 1970
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.19700380230
Subject(s) - magnon , condensed matter physics , anisotropy , physics , anisotropy energy , spin wave , power law , degree (music) , state (computer science) , crystal (programming language) , spin (aerodynamics) , electron , magnetic anisotropy , law , quantum mechanics , ferromagnetism , magnetic field , thermodynamics , mathematics , political science , statistics , magnetization , algorithm , acoustics , computer science , programming language
A general derivation of the M 10 ‐law for the anisotropy constant K 1 of cubic ferro‐ and ferrimagnets is presented in the frame of spin wave theory. No assumptions on the degree of localization of the magnetic electrons are needed. The M 10 ‐law is valid if the vacuum state of magnons is temperature independent. The anomalous temperature dependence of K 1 in the case of nickel is explained by the hypothesis of indirect anisotropic exchange.