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 [Formula Presented] 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 [Formula Presented] depends on m as [Formula Presented] The interface velocity [Formula Presented] near the critical force follows the scaling form [Formula Presented] with [Formula Presented] and [Formula Presented] where [Formula Presented] and F is the driving force.