Hall effect in the perovskite manganites

TL;DR

This paper models the Hall effect in doped perovskite manganites using a double exchange and Jahn-Teller coupling framework, explaining experimental observations of the Hall coefficient's behavior at low temperatures.

Contribution

It introduces a theoretical analysis of the Hall response in manganites considering lattice distortions within a large dimensionality approximation.

Findings

Hole-like Hall coefficient observed at low temperature.

Lattice distortions are necessary for the observed Hall behavior.

Temperature dependence aligns with experimental data.

Abstract

We compute the zero temperature phase diagram and the Hall response of the doped perovskite manganites within the model of double exchange and Jahn-Teller coupling, employing the large dimensionality approximation proposed by Millis et al. We find that in this scenario a ``hole - like'' $R_H$ for the hole doped manganites, as observed at low temperature by Matl et al., can be obtained only when lattice distortions persist in the metallic state at zero temperature. The calculated temperature dependence of $R_H$ seems to be consistent with the measured ``normal'' Hall coefficient in thin films.