Dresden 2011 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 63: Poster II (Surface Magnetism/ Magnetic Imaging/ Topological Insulators/ Spin Structures and Magnetic Phase Transitions/ Graphene/ Magnetic Thin Films/ Magnetic Semiconductors/ Magnetic Half-metals and Oxides/ Spin-dependent Transport/ Spin Excitations and Spin Torque/ Spin Injection and Spin Currents in Heterostructures/ Spintronics/ Magnetic Storage and Applications)

MA 63.70: Poster

Freitag, 18. März 2011, 11:00–14:00, P2

Boltzmann equation for charged particles with spin — •Katarina Tauber^1,2, Martin Gradhand^1,2, Dmitry V. Fedorov², Ingrid Mertig^1,2, and Balazs Gyorffy³ — ¹Max Planck Institute of Microstructure Physics — ²Martin Luther University Halle-Wittenberg — ³University of Bristol

The ordinary Boltzmann equation describes the transport of charge carriers in solids via distribution function f.

In the era of spintronics it is desirable to investigate the change of charge and magnetic moment of an electron under the influence of external fields on the same footing by a Boltzmann theory. Therefore, we extended the Boltzmann equation to a 2× 2 matrix form for the distribution function. The components describe the scalar distribution function for the charge and 3 components of the magnetic moment. Furthermore, we added a precession term to allow the change of the direction of the magnetic moments. We solved the modified Boltzmann equation for general, simple cases analytically with a relaxation time approximation for the scattering term. Thereby, we analyzed the effect of the different terms in the Boltzmann equation separately to investigate the influence of the electric and magnetic field.