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Download OfficeLite (Software) for PC free. OfficeLite is a virtual robot controller software, that you. Microsoft Office can also be installed on the PC. (2003), S. 496-499, in order to clarify the relations between experimental data and the predictions of the theory on the anomalous Hall conductivity, the following assumptions are made:

(1) The interactions between the ferromagnetic systems are described as classical, and are independent from the electronic density of states.

(2) All the layers comprising the heterostructure are assumed to be described by the same effective mass, $m$, same effective carrier concentration, $n$, and same electronic correlations length, $\xi$.

(3) The mobility of the carriers is assumed to be the same for all the layers.

Under these conditions, we have: $\sigma _{xy}^H =\sigma _{xx}^H \cdot \sigma _{yy}^H =e^2n\frac{\tau _{xx}^H\tau _{yy}^H}{\tau _{xy}^H},$ where $\tau$ is the scattering time of the carriers. The interactions between the carriers in the different layers are described as classical.

Now, we can understand the physical meaning of $\sigma _{xy}^H$ as the voltage induced by the magnetic field in the plane of a surface of a ferromagnetic metal by non-interacting electrons. This surface voltage is different from the total magnetic field as indicated by the different subscripts. That is, the surface voltage does not change the direction of motion of the carriers, but rather only changes its speed. The Hall angle, $\theta _H=\sigma _{xy}^H/\sigma _{xx}^H$, is therefore the measure of this change in speed.

For a multi-layer system, $\sigma _{xy}^H$ is given by the term on the rhs of the previous equation. Thus, the interaction between the carriers in different layers also contributes to the Hall angle, and is dependent on the total carrier concentration (the carrier concentration in all the layers, or their total volume). It is this term that would take into account the enhancement of the carrier density at the interfaces of a particular system.

I'll close by remarking that the Hall angle is more fundamental than the ratio $\sigma 0b46394aab

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