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A Semi‐Classical Approach for Hybrid Ferromagnetic and Antiferromagnetic Superlattices
Author(s) -
Fulco U.L.,
Fulco P.,
Viswanathan G.M.,
Albuquerque E.L.
Publication year - 2002
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(200209)233:2<230::aid-pssb230>3.0.co;2-9
Subject(s) - antiferromagnetism , ferromagnetism , condensed matter physics , dispersion relation , superlattice , magnetization , physics , spin wave , heisenberg model , transfer matrix , magnetic field , spin (aerodynamics) , quantum mechanics , computer science , computer vision , thermodynamics
We present a semi‐classical theory, based on the torque equation of motion for the magnetization, to investigate the spin wave spectra in magnetic superlattices, whose constituents are alternating ferromagnetic and antiferromagnetic layers. We consider the presence of an external magnetic field applied in the plane of the layers and parallel to the easy axis of the structure, supposed to be in the z ‐direction. By using a transfer‐matrix approach, to simplify the algebra which is otherwise quite complex, we explicitly obtain the analytical expression for the spin wave's dispersion relation. For numerical purpose, we confine our discussion to uniaxial antiferromagnetic fluorides (e.g. MnF 2 ), while the ferromagnetic material is considered to be EuS. We illustrate our theoretical results numerically, and compare them with previous works done by using a microscopic Heisenberg model.