Spin injection into a ballistic semiconductor microstructure

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 2 column REVTeX. Explicit prescription relating the results of the ballistic and diffusive theories of spin injection

Scientific paper

10.1103/PhysRevB.67.121310

A theory of spin injection across a ballistic ferromagnet-semiconductor-ferromagnet junction is developed for the Boltzmann regime. Spin injection coefficient $\gamma$ is suppressed by the Sharvin resistance of the semiconductor $r_N^*=(h/e^2)(\pi^2/S_N)$, where $S_N$ is the Fermi-surface cross-section. It competes with the diffusion resistances of the ferromagnets $r_F$, and $\gamma\sim r_F/r_N^*\ll 1$ in the absence of contact barriers. Efficient spin injection can be ensured by contact barriers. Explicit formulae for the junction resistance and the spin-valve effect are presented.

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