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The double-exchange model, which has been extensively studied in the contextof colossal magneto-resistance in perovskite manganese oxides, is known toexhibit a ferromagnetic metallic state at low temperatures because of theinterplay between localized moments and itinerant electrons through theHund's-rule coupling. Here we investigate numerically the ferromagnetictransition in the double-exchange model defined on the frustrated pyrochlorelattice as a simple model for ferromagnetic pyrochlore oxides. We demonstratethat the finite-size corrections are largely reduced by implementing averagesover the twisted boundary conditions in the Monte Carlo simulation, whichenables to estimate the ferromagnetic transition temperature in relativelysmall size clusters. The estimate is compared with that for the non-frustratedcubic lattice system.

Ferromagnetic transition in the double-exchange model on the pyrochlore lattice