Spin splitting and Kondo effect in quantum dots coupled to noncollinear ferromagnetic leads

Details Spin splitting and Kondo effect in quantum dots coupled to noncollinear ferromagnetic leads Spin splitting and Kondo effect in quantum dots coupled to noncollinear ferromagnetic leads

2006-07-21

arxiv.org/abs/cond-mat/0607548v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 8 figures, revised version

Scientific paper

We study the Kondo effect in a quantum dot coupled to two noncollinear ferromagnetic leads. First, we study the spin splitting $\delta\epsilon=\epsilon_{\downarrow}-\epsilon_{\uparrow}$ of an energy level in the quantum dot by tunnel couplings to the ferromagnetic leads, using the Poor man's scaling method. The spin splitting takes place in an intermediate direction between magnetic moments in the two leads. $\delta\epsilon \propto p\sqrt{\cos^2(\theta/2)+v^2\sin^2(\theta/2)}$, where $p$ is the spin polarization in the leads, $\theta$ is the angle between the magnetic moments, and $v$ is an asymmetric factor of tunnel barriers ($-1

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