The anomalous Hall conductivity due to the vector spin chirality

Details The anomalous Hall conductivity due to the vector spin chirality The anomalous Hall conductivity due to the vector spin chirality

2008-11-06

arxiv.org/abs/0811.0890v1

Phys. Rev. B 79, 054423 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 5 figures

Scientific paper

We study theoretically the anomalous Hall effect due to the vector spin chirality carried by the local spins in the $s$-$d$ model. We will show that the vector spin chirality indeed induces local Hall effect in the presence of the electron spin polarization, while the global Hall effect vanishes if electron transport is homogeneous. This anomalous Hall effect can be interpreted in terms of the rotational component of the spin current associated with the vector chirality.

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