Commensurability resonances in two-dimensional magneto-electric lateral superlattices

Abstract

Hybrid lateral superlattices composed of a square array of antidots and a periodic one-dimensional magnetic modulation are prepared in $\mathrm{Ga}[\mathrm{Al}]\mathrm{As}$ heterostructures. The two-dimensional electron gases exposed to these superlattices are characterized by magnetotransport experiments in vanishing average perpendicular magnetic fields. Despite the absence of closed orbits, the diagonal magnetoresistivity in the direction perpendicular to the magnetic modulation shows pronounced classical resonances. They are located at magnetic fields where snake trajectories exist which are quasi-commensurate with the antidot lattice. The diagonal magnetoresistivity in the direction of the magnetic modulation increases sharply above a threshold magnetic field and shows no fine structure. The experimental results are interpreted with the help of numerical simulations based on the semiclassical Kubo model.

arXiv comment8 pages, 5 figures

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Cited by in corpus (4)

• Zero-magnetic-field Hall effects in artificially corrugated bilayer graphene
• Anomalous magneto-transport in disordered structures: classical edge-state percolation
• Nonmonotonous classical magneto-conductivity of a two-dimensional electron gas in a disordered array of obstacles
• Quantum transport through pairs of edge states of opposite chirality at electric and magnetic boundaries