Zero differential resistance of a two-dimensional electron gas in a one-dimensional periodic potential at high filling factors

The nonlinear magnetotransport of a two-dimensional ($\mathrm{2D}$) electron gas in one-dimensional lateral superlattices based on a selectively doped GaAs/AlAs heterostructure is studied. The one-dimensional potential modulation of the $\mathrm{2D}$ electron gas is performed by means of a series of metallic strips formed on the surface of a heterostructure with the use of electron beam lithography and a lift-off process. The dependence of the differential resistance $r_{xx}$ on the magnetic field $B<1,5T$ in superlattices with the period $a=400$ nm at a temperature of $T=4.2$ K is investigated. It is found that electronic states with $r_{xx}\approx0$ appear in one-dimensional lateral superlattices in crossed electric and magnetic fields. It is shown that states with $r_{xx}\approx0$ in $\mathrm{2D}$ electronic systems with one-dimensional periodic modulation arise at the minima of commensurability oscillations of the magnetoresistance.