Abstract
We introduce a discrete surface growth model to study the depinning transition of the quenched Kardar-Parisi-Zhang (QKPZ) equation with an external driving force F. At the critical force Fc, the surface width W shows a scaling W(t,L) L f(t/L z ) with 0.627, 0.617 and z 1.02. Near Fc, the steady-state velocity vs follows vs(F) (F Fc) with 0.672. From the finite-size scaling of the growth velocity, we obtain a correlation time exponent t 1.781, a correlation height exponent h = t 1.099, and a correlation length exponent x = t/z 1.754 independently. h and x are consistent with the values of the directed percolation (DP) class. Since the growing site is considered as an active site of the absorbing model, the interface pinning of the surface model is discussed in connection with the absorbing state.
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