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Ferromagnetic (Ga,Mn)As Layers and ... - OPUS Würzburg

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76 5. Local Anisotropy Control by Strain Engineering<br />

6 0 0<br />

W id th a t H a lf H e ig h t (m T )<br />

4 0 0<br />

2 0 0<br />

0<br />

-1 0 1 2 3 4 5 6<br />

S tra in e x<br />

(1 0 -3 )<br />

Figure 5.10: Width of the opening at half height of the parabolic low field part of the<br />

magnetoresistance scans over average strain in x-direction. All samples of Tbl. 5.1 with<br />

[100]-aligned stripes are shown. The red line is a linear interpolation.<br />

anisotropy field, with increasing average strain. There are several factors which explain<br />

the scattering of the data points around the red linear interpolation line. <strong>As</strong> mentioned<br />

in the previous chapter, all simulations from which the strain value is calculated consider<br />

ideal stripes. This means that inhomogeneous etching, which may cause rough<br />

or slanted sidewalls <strong>and</strong> therefore regions of inhomogeneous strain are not taken into<br />

account. Also, the physical dimensions (stripe width, etch depth) are expected to<br />

differ slightly between simulation <strong>and</strong> processed stripes, causing another uncertainty<br />

in the strain value. Furthermore we will show in annealing experiments detailed in<br />

the following section, that the carrier density has an impact on the strength of the<br />

anisotropy. Since the <strong>Mn</strong> content of the stripe samples in Fig. 5.10 varies between<br />

2.5–5.4%, differences in carrier concentration are also accountable for the scattering<br />

of the data points. But, even taking all aforementioned uncertainties into account,<br />

we still observe a very clear dependence of the anisotropy field on the lattice strain,<br />

which identifies it as the driving force in determining the configuration of the magnetic<br />

anisotropy in (<strong>Ga</strong>,<strong>Mn</strong>)<strong>As</strong> nanostructures.<br />

[1¯10] Stripes<br />

The situation for [1¯10] oriented stripes is notably different from what we observe for<br />

the [100] stripes. Fig. 5.11 (a) shows magnetotransport measurements on sample I. <strong>As</strong><br />

with the [100] stripes, the external field sweeps are performed in the interval from B ‖<br />

J (φ = 0 ◦ ) to B ⊥ J (φ = 90 ◦ ). In contrast to the [100] stripe measurements in Fig. 5.9,<br />

the lowest curve at φ = 0 ◦ is not the flattest curve of the ensemble. The curvature of a<br />

magnetotransport measurement is caused by the rotation of the magnetization to the

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