Vertically integrated dust density distribution after 1 (left) and 5 (right) Myr of evolution, when a massive planet (1, 5, and 15 M_Jup, from top to bottom) is embedded in the disk at 20 AU (vertical dash-dotted line). At the location of the snow line (vertical dashed line at ~ 0.4 AU), the fragmentation velocity changes from 1 m s^-1 to 10 m s^-1 within a range of ~ 2 AU. The solid white line corresponds to St = 1, which is proportional to Σ_g. The solid blue line corresponds to the maximum grain size due to fragmentation (Eq. (3)), while the dotted green line represents the drift barrier (Eq. (4)).