Depinning of an anisotropic interface in random media: the tilt effect

We study the tilt dependence of the pinning-depinning transition for an interface described by the anisotropic quenched Kardar-Parisi-Zhang equation in 2+1 dimensions, where the two signs of the nonlinear terms are different from each other. When the substrate is tilted by m along the positive sign direction, the critical force F(c)(m) depends on m as F(c)(m)-F(c)(0) approximately -|m|(1.9(1)). The interface velocity v near the critical force follows the scaling form v approximately |f|(straight theta)Psi(+/-)(m(2)/|f|(straight theta+straight phi)) with straight theta=0.9(1) and straight phi=0.2(1), where f identical withF-F(c)(0) and F is the driving force.