Electron Correlation and Jahn-Teller Interaction in Manganese Oxides

Details Electron Correlation and Jahn-Teller Interaction in Manganese Oxides Electron Correlation and Jahn-Teller Interaction in Manganese Oxides

1997-09-30

arxiv.org/abs/cond-mat/9709335v1

Physics

Condensed Matter

REVTEX

Scientific paper

10.1103/PhysRevB.57.R6767

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 $\omega = {\tilde \Omega} = \Omega [(U +4 E_{LR})/U]^{1/2}$ and that corresponding to the Kondo peak. These results compared with the experiments suggest that $\Omega

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