  The paradigmatic Mott insulator arises in strongly correlated systems, where
strong local repulsion localizes interacting particles in underlying
egg-holder-like potential. The corresponding Mott transition reflects
delocalization of the charges either by varying parameters of the system and
temperature, or by applied current, the latter being referred to as the dynamic
Mott transition. Recently, the dynamic Mott transition was experimentally
observed on the vortex system trapped by the periodic proximity array and
described in terms of non-Hermitian theory of nonequilibrium processes. Here we
investigate numerically the vortex dynamic Mott transition in an proximity
array implemented as an array of holes in a superconducting films and discover
striking nonmonotonic behavior of the differential resistance as function of
the applied current when deviating from the matching field corresponding to a
unity filling factor.
