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Magnon modes in quasi‐periodic ferromagnets
Author(s) -
Liu TianShi,
Wei GuoZhu
Publication year - 1992
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.2221740220
Subject(s) - magnon , ferromagnetism , condensed matter physics , fibonacci number , superlattice , magnetization , decimation , physics , materials science , quantum mechanics , mathematics , magnetic field , filter (signal processing) , discrete mathematics , computer science , computer vision
Abstract Considering ferromagnetic exchange energies J 1 and J 2 between layers, which are arranged in quasi‐periodic Fibonacci sequence, and the exchange energy J 0 in a layer, a rescaling approach to magnons in quasi‐periodic superlattice ferromagnets is presented. An exact decimation transformation is derived for magnon modes of α‐ and β‐layers in ferromagnets. Iteration of the transformation provides numerial results for the local density of states (LDOS) and the magnetization, when J 1 + J 2 = 2 J 0 fixed, λ = J 2 / J 1 ( > 1). The band width of LDOS of layer α is 16 SJ 0 (2 + λ)/(1 + λ), but the band width of LDOS of layer β is 24 SJ 0 , the magnetizations of layers α and β decrease as λ is increasing for a given temperature, the magnetization of layer β is always bigger than that of layer α.