We study the microwave-induced photoconductivity of a two-dimensional
electron system (2DES) in the presence of a magnetic field and a
two-dimensional modulation. The microwave and Landau contributions are exactly
taken into account, while the periodic potential is treated perturbatively. The
longitudinal resistivity exhibits oscillations, periodic in ω/ωc. Negative resistance states (NRS) develop for sufficiently high
electron mobility and microwave power. This phenomenon appears in a narrow
window region of values of the lattice parameter (a), around a∼lB,
where lB is the magnetic length. It is proposed that these phenomena may be
observed in artificially fabricated arrays of periodic scatterers at the
interface of ultraclean heterostructures. {73.20.At,05.60.-k, 72.15.Rn}Comment: 3 pages, 1 figur