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Read Back Signals in Magnetic Recording - Research Group Fidler

Read Back Signals in Magnetic Recording - Research Group Fidler

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Basics<br />

channels <strong>in</strong> the parallel and <strong>in</strong> the antiparallel state, <strong>in</strong>dicat<strong>in</strong>g the different orig<strong>in</strong>s of<br />

scatter<strong>in</strong>g. Only deviations from the periodic atomic potentials are shown, as no scatter<strong>in</strong>g<br />

takes place <strong>in</strong> a regular periodic lattice. The size of the potential step and of the scatter<strong>in</strong>g<br />

potentials at imperfections of the <strong>in</strong>terfaces depends on the degree of match<strong>in</strong>g of the<br />

electronic structures of the ferromagnetic layers and the nonmagnetic spac<strong>in</strong>g layer. In order<br />

to obta<strong>in</strong> a large GMR ratio, good electronic structure match<strong>in</strong>g is required for one sp<strong>in</strong><br />

direction and bad match<strong>in</strong>g for the opposite sp<strong>in</strong> direction. It is clear that giant<br />

magnetoresistance only occurs <strong>in</strong> layers with thicknesses much smaller than the electron<br />

mean-free path.<br />

Figure 2.7: Potential landscape <strong>in</strong>side the FM/NM/FM active part of a sp<strong>in</strong>-valve, for the<br />

two sp<strong>in</strong> channels <strong>in</strong> the parallel state (a,b) and <strong>in</strong> the antiparallel state (c), <strong>in</strong>dicat<strong>in</strong>g the<br />

different orig<strong>in</strong>s of scatter<strong>in</strong>g [20].<br />

The GMR effect can be qualitatively described by a very simplified two current model. The<br />

current densities are assumed to be homogenous for both sp<strong>in</strong> directions. If the resistances for<br />

the ‘+’ and ‘-‘ channels <strong>in</strong> the parallel state are denoted with R + and R − , then the total<br />

resistance for the parallel state is<br />

25

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