Abstract
We have investigated the effect of scattering on intrinsic anomalous Hall effect (AHE) for typical itinerant ferromagnets of Fe, Co, Ni, and their impurity-doped specimens in terms of the Hall Lorenz ratio , the ratio of thermal to electrical Hall conductivities divided by temperature . We show that Lorenz ratio for the intrinsic anomalous Hall current (AHC) is almost constant and coincides with (Wiedemann-Franz law) in the clean region (e.g., ), indicating the scattering-free nature of intrinsic AHE. On the other hand, the Lorenz ratio for the AHC begins to decrease from with increasing above , which indicates the crossover from the scattering-free to scattering-dependent nature of AHE. The scattering rate corresponding to the crossover resistivity is comparable with the gap magnitude formed at the band anticrossing point caused by the spin-orbit interaction.
- Received 26 November 2009
DOI:https://doi.org/10.1103/PhysRevB.81.054414
©2010 American Physical Society
Synopsis
Intrinsic anomalous Hall current is scattering free
Published 22 February 2010
New experiments indicate that the intrinsic regime of the anomalous Hall effect is independent of scattering.
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