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It turns out that the exchange length, lS=2A/μ0MS2, of the stray field energy and that of the crystal anisotropy constant, lK=A/K, govern the magnetic structures and the magnetisation processes.
At the same time, averaging of exchange interactions over such a fine grain size, which is much lower than the characteristic exchange length for Co (≈25 45 nm), precludes the display of local magnetocrystalline easy axes, thereby leading to low switching fields.
We begin by considering the magnetic length scales (e.g. spin wave length, exchange length), which define "small" in this context and introduce the concept of "spin engineering" that can be considered analogous to that of "band gap engineering", which has proved such a powerful concept in semiconductor physics.
Important aspects can be understood from the point-of-view of the interaction of a characteristic length (which may be as diverse as the dislocation radius of curvature at a given stress or the magnetic exchange length) with a size parameter (grain or particle size, or film thickness).
Soft magnetic layers thicker than their exchange length induce complex incoherent magnetization switching.
The thickness of the soft layer is more than its exchange length (approximately 4 nm).
Similar(46)
The length scales are determined by such things as mean paths of conduction electrons, exchange lengths, and even domain wall widths.
The distribution characteristics along the heat exchange reformer length direction are presented, and some key effect factors are studied.
In contrast, when the size of particles increases, the internal magnetic state becomes independent of the surface, owing to a finite exchange interaction length.
For each sample, the thickness of each bilayer did not exceed the value of the exchange correlation length calculated for these Co bilayers.
The only restriction to this model is that the thickness of the resulting bilayer should be smaller than the exchange correlation length, lex l ex = A K u, (1).
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