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Spin Valve Systems for Angle Sensor Applications - tuprints

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2.5 <strong>Spin</strong> <strong>Valve</strong> System 15<br />

MR (%)<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

FL<br />

PL<br />

H c2<br />

H eb<br />

-125 -100 -75 -50 -25 0 25<br />

µ H(mT)<br />

0<br />

Figure 2.12: Major loop of an MR curve measured from a spin valve.<br />

After the field direction switches to a negative polarity, the magnetization of the free layer<br />

reverses direction, while the magnetization of the pinned layer remains fixed. The resistance<br />

now rises to the maximum value, because the magnetization of the free and reference layers<br />

are now in the anti-parallel state. Only upon application of a field greater than the exchange<br />

bias field Heb does the magnetization of the pinned layer rotate in the direction of the applied<br />

field. The measured MR drops to zero at this point. The Heb is determined at the halfway<br />

point in the hysteresis of the major loop and at half the MR value as seen in Figure 2.12.<br />

After the exchange bias effect is overcome by the applied field, the magnetization of the free<br />

and pinned layers are again in the parallel orientation.<br />

Numerous other magnetic parameters, such as the interlayer coupling between the free and<br />

pinned layer He and coercivity of the free layer Hc1 and the pinned layer Hc2 can also be<br />

extracted directly from an MR measurement. He is the shift in the minor loop of an MR or<br />

magnetization curve from the zero field (see Figure 2.13). A positive shift is an indication of<br />

ferromagnetic interlayer coupling and a negative shift of anti-ferromagnetic interlayer<br />

coupling.<br />

MR(%)<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

H e<br />

H c1<br />

-3 -2 -1 0 1 2 3<br />

µ 0 H(mT)<br />

Figure 2.13: Minor loop of an MR curve measured from a spin valve.<br />

The coercivity is a measure of the uniaxial anisotropy of the ferromagnetic layer and is<br />

represented by the hysteresis seen in the closed loop of the MR curve (see Figure 2.12). Hc1 is<br />

measured from the half-way point of hysteresis in the minor loop of an MR curve and is

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