Time-averaged snapshots of the gas density (top row), plasma parameter β (middle row), and toroidal magnetic field (bottom row), for: the initial model (first column), as well as the three runs with Hall anti-aligned (h-aa, second column), Hall free (h-f , third column), and Hall aligned (h-a, fourth column). The streamlines in the first row indicate the poloidal velocity vectors. The blue lines in the middle row are placed where β = 0.1 indicating the vertical integration limits ±z_d. Finally, the contour lines in the bottom-row panels highlight the poloidal magnetic field lines. The initial radial location of the cavity edge is marked by a blue diamond in all panels.