Anomalous f-electron Hall Effect in the Heavy-Fermion System CeTIn${}_5$ (T = Co, Ir, or Rh)

Abstract

The in-plane Hall coefficient $R_H(T)$ of CeRhIn${}_5$, CeIrIn${}_5$, and CeCoIn${}_5$ and their respective non-magnetic lanthanum analogs are reported in fields to 90 kOe and at temperatures from 2 K to 325 K. $R_H(T)$ is negative, field-independent, and dominated by skew-scattering above $\sim$ 50 K in the Ce compounds. $R_H(H\to 0)$ becomes increasingly negative below 50 K and varies with temperature in a manner that is inconsistent with skew scattering. Field-dependent measurements show that the low-T anomaly is strongly suppressed when the applied field is increased to 90 kOe. Measurements on LaRhIn${}_5$, LaIrIn${}_5$, and LaCoIn${}_5$ indicate that the same anomalous temperature dependence is present in the Hall coefficient of these non-magnetic analogs, albeit with a reduced amplitude and no field dependence. Hall angle (${\theta }_H$) measurements find that the ratio ${\rho }_{xx}/{\rho }_{xy}=\cot ({\theta }_H)$ varies as $T^2$ below 20 K for all three Ce-115 compounds. The Hall angle of the La-115 compounds follow this T-dependence as well. These data suggest that the electronic-structure contribution dominates the Hall effect in the 115 compounds, with $f$-electron and Kondo interactions acting to magnify the influence of the underlying complex band structure. This is in stark contrast to the situation in most $4f$ and $5f$ heavy-fermion compounds where the normal carrier contribution to the Hall effect provides only a small, T-independent background to $R_H.$

23 pages and 8 figures

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