Download e-book for iPad: Magnetism. / Vol. 2, Materials and applications by Etienne Du Trémolet de Lacheisserie; D Gignoux; M Schlenker

By Etienne Du Trémolet de Lacheisserie; D Gignoux; M Schlenker

ISBN-10: 0387230637

ISBN-13: 9780387230634

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Additional resources for Magnetism. / Vol. 2, Materials and applications

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35) with D = 0). The most striking characteristic of the Damon-Eshbach spin waves is that they propagate in only one direction across the magnetization, from right to left. There are no solutions o f the equations for the opposite sense of propagation. We may consider waves for which kll makes an angle 0 with the x axis in Fig. 5a. Then there exist solutions o f the equation for angles 0 which lie in the range - 0c < 0 < + 0¢, where cos0¢ =(\ H o +,,o 47rMJ . 44) As 0 ~ 0 c , the frequency of the surface wave drops to merge with the bulk spin wave band.

4, inelastic electron scattering offers a means of probing the collective excitations of the semi-infinite superlattice near its surface. 5], who calculated the near specular electron energy loss cross section for such structures. 22] have recently examined the influence of non-uniformity of the outermost layer on the electron loss spectrum to find, unfortunately, only a rather modest influence, unless the properties of the outer layer are modified very substantially. The dispersion curves of the structure are affected substantially by the modifications of the outer layer, but since the near-specular electron loss method averages over a rather wide range of wave vectors, the experimental spectrum is influenced only modestly.

Then we need the form of the magnetic susceptibility tensor as input. 37) where ~bM is the magnetic scalar potential. 38) btd) = h {a) + 4 rcm , where the total magnetization is written M (x, t) = M s + m (x, t) when a spin wave is excited. The magnetic induction satisfies V . 39) and m is then related to h {d) by means of a frequency dependent susceptibility tensor m, = ~ Xt/(o))hJ'° . 40) ) For ferromagnets and antiferromagnets of the classical uniaxial type (MnF2, FeF 2, for example), the susceptibility tensor elements are rather simple in form.

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Magnetism. / Vol. 2, Materials and applications by Etienne Du Trémolet de Lacheisserie; D Gignoux; M Schlenker


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