Critical Temperature of Ferromagnetic Transition in Three-Dimensional Double-Exchange Models

Details Critical Temperature of Ferromagnetic Transition in Three-Dimensional Double-Exchange Models Critical Temperature of Ferromagnetic Transition in Three-Dimensional Double-Exchange Models

2000-07-26

arxiv.org/abs/cond-mat/0007408v2

J. Phys. Soc. Jpn. 69 (2000) 3785

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages including 1 table and 4 figures, to be published in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.69.3785

Ferromagnetic transition in three-dimensional double-exchange models is studied by the Monte Carlo method. Critical temperature $T_{\rm c}$ is precisely determined by finite-size scaling analysis. Strong spin fluctuations in this itinerant system significantly reduce $T_{\rm c}$ from mean-field estimates. By choosing appropriate parameters, obtained values of $T_{\rm c}$ quantitatively agree with experiments for the ferromagnetic metal regime of (La,Sr)MnO$_{3}$, which is a typical perovskite manganite showing colossal magnetoresistance. This indicates that the double-exchange mechanism alone is sufficient to explain $T_{\rm c}$ in this material. Critical exponents are also discussed.

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