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Angular Variation of the Perpendicular Giant Magnetoresistance in Magnetization Layers
Author(s) -
Tao Y.C.,
Wang J.,
Hu J.G.
Publication year - 2000
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 - 10.1002/1521-3951(200010)221:2<721::aid-pssb721>3.0.co;2-2
Subject(s) - condensed matter physics , giant magnetoresistance , perpendicular , magnetoresistance , boltzmann equation , materials science , magnetization , plane (geometry) , physics , magnetic field , geometry , quantum mechanics , mathematics
An extended Boltzmann equation approach described by electron spinor distribution function and electrochemical potential is proposed to study the variation of the giant magnetoresistance (GMR) for current perpendicular to the plane (CPP) of layers with the angle θ between the magnetizations of successive magnetic films. It is found that in the long‐spin‐diffusion‐length (LSDL) limit, the CPP GMR for a symmetric multilayered system linearly varies with cos 2 ( θ /2), while for an asymmetric multilayered system, there is a remarkable deviation from this linear relation, which is qualitatively identical to experimental results.