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We study the critical behavior of Sherrington-Kirkpatrick model in transversefield (at finite temperature) using Monte Carlo simulation and exactdiagonalization (at zero temperature). We determine the phase diagram of themodel by estimating the Binder cumulant. We also determine the correlationlength exponent from the collapse of the scaled data. Our numerical studieshere indicate that critical Binder cumulant (indicating the universality classof the transition behavior) and the correlation length exponent cross over fromtheir `classical' to `quantum' values at a finite temperature (unlike the casesof pure systems where such crossovers occur at zero temperature). We propose aqualitative argument supporting such an observation, employing a simpletunneling picture.

Classical-quantum crossover in the critical behavior of the transverse field S-K spin glass model