# Dresden 2017 – wissenschaftliches Programm

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# MA: Fachverband Magnetismus

## MA 41: Micromagnetism / Computational Magnetics

### MA 41.5: Vortrag

### Mittwoch, 22. März 2017, 16:00–16:15, HSZ 101

**Calculating GMR in granular Systems using 3D resistor networks** — •Daniel Kappe^{1,2}, Christian Schröder^{2}, and Andreas Hütten^{1} — ^{1}Center for Spinelectronic Materials and Devices, Physics Department, Bielefeld University, Germany — ^{2}Bielefeld Institute for Applied Materials Research, University of Applied Sciences Bielefeld, Germany

To investigate the impact of particle arrangement on the Giant Magnetoresistance (GMR) effect in granular systems, a resistor network model has been devised to calculate GMR in these systems. Analytical solutions to this problem usually neglect the specific arrangement of particles and instead implement their properties as mean values. This is sufficient for studying large clusters of particles, but might fall short as soon as smaller, organized arrangements are of interest.

Our model uses the geometric arrangement of particles and their micromagnetic state to calculate the system's resistivity. The input is modelled as a three dimensional network of resistors, which is then converted into a set of linear equations. Its solution can be determined inverting the system's matrix.

Combining this approach with micromagnetic simulations, it is possible to calculate the resistivity for arbitrary external magnetic fields, particle arrangements and particle shapes.