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Read Back Signals in Magnetic Recording - Research Group Fidler

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FEM Simulations<br />

The sense current through the sp<strong>in</strong> valve is applied at the lateral surfaces of the conductor<br />

model and has a value of 3 mA.<br />

The effective conductivities of the <strong>in</strong>dividual parts are estimated from the measured<br />

conductivities <strong>in</strong> Figure 6.3 [37]. These conductivities differ much from the bulk values,<br />

because the electron mean-free path is larger than the layer thicknesses.<br />

Figure 6.3: The effective conductivities for a typical sp<strong>in</strong> valve taken from [37].<br />

In our simulation the free layer has a conductivity of<br />

PL 6 −1 −1<br />

σ = 3.5⋅10 Ω m , the Cu layer<br />

FL 6 −1 −1<br />

σ = 310 ⋅ Ω m , the p<strong>in</strong>ned layer<br />

Cu 6 −1 −1<br />

σ = 4.5⋅10 Ω m , the antiferromagnet<br />

AF 6 −1 −1<br />

Lead 7 −1 −1<br />

σ = 110 ⋅ Ω m and f<strong>in</strong>ally the leads σ = 110 ⋅ Ω m . Here the conductivities of free<br />

layer, p<strong>in</strong>ned layer and the Cu layer are not constant, because it is assumed that these layers<br />

contribute to the GMR effect. Their maximum change <strong>in</strong> conductivity, the GMR ratio, was<br />

assumed to be 10%. So the effective GMR ratio of the whole layer structure is smaller,<br />

because the sense current is shunted by the antiferromagnet. All values assumed for the<br />

conductor model are listed <strong>in</strong> Table 6.2.<br />

Conductor σ [Ω -1 m -1 ] Type MR-Ratio <strong>Magnetic</strong> Material 1 <strong>Magnetic</strong> Material 2<br />

Free Layer 3.0E6 2 (GMR) 0.1 Free Layer P<strong>in</strong>ned Layer<br />

Cu Layer 4.5E6 2 (GMR) 0.1 Free Layer P<strong>in</strong>ned Layer<br />

P<strong>in</strong>ned Layer 3.5E6 2 (GMR) 0.1 Free Layer P<strong>in</strong>ned Layer<br />

Antiferromagnet 1.0E6 0 - - -<br />

Lead 1.0E7 0 - - -<br />

Table 6.2: The properties for all parts of the conductor model. Here the conductivities, the<br />

type of magnetoresistance, and the magnetic materials, which <strong>in</strong>fluence the conductivity,<br />

are given. (Compare with Table 4.1).<br />

68

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