The Quantum Hall Effect in a One-Dimensional Lateral Superlattice: Nearly Dissipationless Transport Across High Potential Barriers

Abstract

We have investigated strongly modulated one- dimensional lateral superlattices in the quantum Hall regime. Although the modulation amplitude is comparable to the Fermi energy in the system, giving rise to zero magnetic field square resistances of up to 75 k¦¸, we observe nearly dissipationless transport across the barriers at integer filling factors. While the Hall resistance displays quantized plateaus, there are no gaps in the Landau level density of states. The experimental findings can be explained in terms of B¨¹ttiker¡¯s edge channel model involving the high aspect ratio of the barriers.