First principles calculation of anomalous Hall conductivity in ferromagnetic bcc Fe

Phys Rev Lett. 2004 Jan 23;92(3):037204. doi: 10.1103/PhysRevLett.92.037204. Epub 2004 Jan 22.


We perform a first principles calculation of the anomalous Hall effect in ferromagnetic bcc Fe. Our theory identifies an intrinsic contribution to the anomalous Hall conductivity and relates it to the k-space Berry phase of occupied Bloch states. This dc conductivity has the same origin as the well-known magneto-optical effect, and our result accounts for experimental measurement on Fe crystals with no adjustable parameters.