  We examine the collective states of run-and-tumble active matter disks driven
over a periodic obstacle array. When the drive is applied along a symmetry
direction of the array, we find a clog-free uniform liquid state for low
activity, while at higher activity, the density becomes increasingly
heterogeneous and an active clogged state emerges in which the mobility is
strongly reduced. For driving along non-symmetry or incommensurate directions,
there are two different clogging behaviors consisting of a drive dependent
clogged state in the low activity thermal limit and a drive independent clogged
state at high activity. These regimes are separated by a uniform flowing liquid
at intermediate activity. There is a critical activity level above which the
thermal clogged state does not occur, as well as an optimal activity level that
maximizes the disk mobility. Thermal clogged states are dependent on the
driving direction while active clogged states are not. In the low activity
regime, diluting the obstacles produces a monotonic increase in the mobility;
however, for large activities, the mobility is more robust against obstacle
dilution. We also examine the velocity-force curves for driving along
non-symmetry directions, and find that they are linear when the activity is low
or intermediate, but become nonlinear at high activity and show behavior
similar to that found for the plastic depinning of solids. At higher drives the
active clustering is lost. For low activity we also find a reentrant fluid
phase, where the system transitions from a high mobility fluid at low drives to
a clogged state at higher drives and then back into another fluid phase at very
high drives. We map the regions in which the thermally clogged, partially
clogged, active uniform fluid, clustered fluid, active clogged, and
directionally locked states occur as a function of disk density, drift force,
and activity.
