By A. P. Malozemoff
Magnetic area partitions in Bubble fabrics covers the physics of area partitions in bubble area fabrics. The ebook describes the microscopic origins and features of the cloth parameters; the foundations of area statics and the Landau-Lifshitz equation, that's the fundamental equation of magnetization dynamics; and its actual importance. The textual content then discusses the experimental innovations, either static and dynamic, utilized in learning area partitions; the static inner constitution of bubble-domain partitions; the Bloch-wall dynamics in response to one-dimensional recommendations of the Landau-Lifshitz equation; and the wall-motion conception.
The conception to low speed phenomena in area partitions containing vertical Bloch; high-velocity radial and quasi-planar wall motions; and nonlinear bubble translation together with the results of the speculation for bubble movement in units, also are thought of. The ebook additional surveys specific phenomena regarding vibrations and wave motions of partitions, and the consequences of microwave-frequency fields on partitions. Engineers and fabrics researchers serious about the advance of sensible bubble units will locate the ebook worthy.
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Extra info for Magnetic Domain Walls in Bubble Materials. Advances in Materials and Device Research
E u is an important exception. Its ^-factor is undefined in Eq. 11) because 3+ J = 0 and S = L. In a solid, E u is known to behave as though it has a 83 magnetic moment and as though it contributes no angular m o m e n t u m , 3+ 3+ 3+ so one may take g = oo. Other trivalent ions like Y , L a , and L u are nonmagnetic. In an oxide host lattice these "free-ion" results are still approx 3+ imately valid for all rare-earth ions and F e , because the perturbing energy of the electric fields of neighboring ions is generally small compared to the energy of the next highest SLJ level.
7), the criterion for resonance is that ω Γ = (k/m) should be less than o) c = k/b. In other words, smaller b and larger ra is favorable for resonant behavior. This also means that, given b and ra, resonant behavior can be obtained if k is made large enough. As discussed in Section 2,D, there is a maximum, as a function of platelet thickness, in k of a stripe array. Thus if resonant behavior is of interest for determining the domain wall mass, one must optimize sample thickness to maximize k, although if ra, 6, and kmax are unfavorable, it may still be impossible to achieve resonant behavior.
L A N D A U - L I F S H I T Z EQUATION A N D DYNAMIC MATERIAL PARAMETERS 35 ANGULAR MOMENTUM COMPENSATION MAGNETIC COMPENSATION Fig. 2. Total ^-factor of E u 3 F e 5 _ A. 2 Κ versus a m o u n t x of gallium (after 83 Le Craw et al. ). A similar curve applies at r o o m t e m p e r a t u r e , but with the compensation points shifted to higher gallium values. and tetrahedral sites are at compensation; thus M2 Φ 0. However since y2 3+ of the E u ions is effectively infinite as mentioned before, the total angular m o m e n t u m is zero, and so yT must be infinite.