Electron Correlation and Jahn-Teller Interaction in Manganese Oxides

Abstract

The interplay between the electron repulsion $U$ and the Jahn-Teller electron-phonon interation $E_{LR}$ is studied with a large $d$ model for the ferromagnetic state of the manganese oxides. These two interactions collaborate to induce the local isospin (orbital) moments and reduce the bandwidth $B$. Especially the retardation effect of the Jahn-Teller phonon with the frequency $\Omega$ is effective to reduce $B$, but the strong $\Omega$-dependence occurs even when the Coulombic interaction is dominating ($U>>E_{LR}$) as long as $E_{LR}>\Omega$. The phonon spectrum consists of two components, i.e., the temperature independent sharp peak at $\omega =\tilde{\Omega }=\Omega [(U+4E_{LR})/U{]}^{1/2}$ and that corresponding to the Kondo peak. These results compared with the experiments suggest that $\Omega <E_{LR}<U$ in the metallic manganese oxides.

REVTEX

References in corpus (4)

• Double Exchange Alone Does Not Explain the Resistivity of $L{a}_{1-x}S{r}_{x}Mn{O}_3$
• Transport Properties of the Kondo Lattice Model in the Limit $S=\infty$ and $D=\infty$
• On the Fermi Liquid to Polaron Crossover II: Double Exchange and the Physics of "Colossal" Magnetoresistance
• On the Fermi Liquid to Polaron Crossover I: General Results

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• Kinetics of orbital ordering in cooperative Jahn-Teller models: Machine-learning enabled large-scale simulations