Abstract
We present reversible magnetization data of aYBa2Cu4O8 single crystal and analyzethe evidence for 3D-xy critical behavior and a magnetic-field-induced 3D to 1D crossover. Remarkable consistencywith these phenomena is observed in agreement with a magnetic-field-inducedfinite size effect, whereupon the correlation length transverse to the appliedmagnetic field cannot grow beyond the limiting magnetic length scaleLH = (Φ0/(aH))1/2. By applying the appropriate scaling form we obtain the zero-field critical temperature,the 3D to 1D crossover, the vortex melting line and the universal ratios of therelated scaling variables. Accordingly there is no continuous phase transition in the(H,T) planealong the Hc2 lines as predicted by the mean-field treatment.
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