Anomalous f-electron Hall Effect in the Heavy-Fermion System CeTIn$_{5}$ (T = Co, Ir, or Rh)

TL;DR

This study investigates the anomalous temperature and field dependence of the Hall effect in CeTIn$_{5}$ heavy-fermion compounds, revealing that band structure dominates the Hall response with f-electron interactions amplifying this effect.

Contribution

It demonstrates that the electronic structure primarily influences the Hall effect in CeTIn$_{5}$, contrasting with typical heavy-fermion systems where f-electron effects are minor.

Findings

Hall coefficient is negative and field-independent above 50 K

Low-temperature Hall anomaly is suppressed by magnetic field

Hall angle follows a T^2 dependence below 20 K

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 $R_{H}.$