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Critical phenomena of ferromagnetic transition at finite temperatures arestudied in double-exchange systems. In order to investigate strong interplaybetween charge and spin degrees of freedom, Monte Carlo technique is applied toinclude fluctuations in a controlled and unbiased manner. By using finite-sizescaling analysis, critical exponents and transition temperature are estimatedfor a model with Ising spin symmetry in two dimensions. The obtained exponentsare far distinct from the mean-field values, but consistent with those of spinmodels with short-range exchange interactions. The universality class of thistransition belongs to that of short-range interaction with the same spinsymmetry. We also discuss the case for three dimensions. The results arecompared with experimental results in perovskite manganites which show colossalmagnetoresistance.Comment: 4 pages including 1 table and 5 figures, submitted to J. Phys. Soc.  Jp

Critical Phenomena of Ferromagnetic Transition in Double-Exchange Systems