  We study the critical behavior of Sherrington-Kirkpatrick model in transverse
field (at finite temperature) using Monte Carlo simulation and exact
diagonalization (at zero temperature). We determine the phase diagram of the
model by estimating the Binder cumulant. We also determine the correlation
length exponent from the collapse of the scaled data. Our numerical studies
here indicate that critical Binder cumulant (indicating the universality class
of the transition behavior) and the correlation length exponent cross over from
their `classical' to `quantum' values at a finite temperature (unlike the cases
of pure systems where such crossovers occur at zero temperature). We propose a
qualitative argument supporting such an observation, employing a simple
tunneling picture.
