Temperature Dependence of the Conductivity in (La,Sr)MnO$_3$
Nobuo Furukawa (ISSP, Univ. Tokyo)
TL;DR
This paper presents a theoretical study of the temperature-dependent conductivity in (La,Sr)MnO$_3$ using the Kondo lattice model, successfully explaining experimental resistivity and optical conductivity behaviors.
Contribution
It introduces an exact calculation of conductivity and magnetization in the Kondo lattice model on the Bethe lattice, providing insights into the temperature dependence of transport properties in (La,Sr)MnO$_3$.
Findings
Resistivity below Curie temperature matches experimental data.
Optical conductivity anomalies are explained by the model.
Magnetization and conductivity are accurately correlated.
Abstract
Using the Kondo lattice model with classical spins in infinite dimension, conductivity in the perovskite-type transition-metal oxide (La,Sr)MnO is theoretically studied. Green's functions as well as spontaneous magnetization are obtained exactly on the Bethe lattice as a function of temperature. Conductivity is calculated from the Kubo formula. Below the Curie temperature, resistivity as a function of magnetization is in a good agreement with the experimental data. Anomalous behaviour in the temperature dependence of the optical conductivity observed in (La,Sr)MnO is also explained.
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