The Anomalous Hall Effect in Heavy Fermion Semiconductors.
Sukalpa Basu and Peter S Riseborough
Physics Dept. Temple University

In the 1950’s Karplus and Luttinger predicted an anomalous contribution to the Hall
conductivity of ferromagnetic materials. Unlike most other transport properties, which
are dominated by electrons near the Fermi-surface, the Karplus-Luttinger contribution to
the Hall current involves electrons throughout the Fermi-sphere and is dissipationless.
Several measurements of the Anomalous Hall current on three-dimensional ferromagnets
have been recently reported, and the Karplus-Luttinger contribution has been identified.
However, the identification is indirect since other possible sources of anomalous currents,
such as skew-scattering or the side-jump mechanism, have to be eliminated. The heavy-
fermion semiconductors, which have band gaps of the order of 60 Kelvin and are subject
to strong spin-orbit coupling, are promising candidate materials for the direct
determination of the Karplus-Luttinger Hall current.

---