Electrical resistivity in the ferromagnetic metallic state of La-Ca-MnO $\mathsf{_{3}}$: Role of electron-phonon interaction

D. Varshney () and N. Kaurav

The European Physical Journal B: Condensed Matter and Complex Systems, 2004, vol. 40, issue 2, 129-136

Abstract: The temperature-dependent resistivity of the perovskite manganites La 1-x Ca x MnO 3 , with x=0.33, is theoretically analysed within the framework of the classical electron-phonon model of resistivity, i.e., the Bloch-Gruneisen model. Due to inherent acoustic (low-frequency) phonons ( $\omega_{ac})$ as well as high-frequency optical phonons ( $\omega_{op})$ , the contributions to the resistivity have first been estimated. The acoustic phonons of the oxygen-breathing mode yield a relatively larger contribution to the resistivity compared to the contribution of optical phonons. Furthermore, the nature of phonons changes around T=167 K exhibiting a crossover from an acoustic to optical phonon regime with elevated temperature. The contribution to resistivity estimated by considering both phonons, i.e. $\omega_{ac}$ and $\omega_{op}$ , when subtracted from thin film data, infers a power temperature dependence over most of the temperature range. The quadratic temperature dependence of $\rho_{\it diff.}=[ \rho_{\exp} . - \{\rho_{0} + \rho_{e\text{-}ph} (= \rho_{ac} + \rho_{op}) \} ]$ is understood in terms of electron-electron scattering. Moreover, in the higher temperature limit, the difference can be varies linearly with T 4.5 in accordance with the electron-magnon scattering in the double exchange process. Within the proposed scheme, the present numerical analysis of temperature dependent resistivity shows similar results as those revealed by experiment. Copyright Springer-Verlag Berlin/Heidelberg 2004

Date: 2004
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DOI: 10.1140/epjb/e2004-00251-5

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