Emergent magnetic texture in driven twisted bilayer graphene

Abstract

The transport properties of a twisted bilayer graphene barrier are investigated for various twist angles. Remarkably, for small twist angles around the magic angle ${\theta }_m\sim 1.05^{\circ }$, the local currents around the AA-stacked regions are strongly enhanced compared to the injected electron rate. Furthermore, the total and counterflow (magnetic) current patterns show high correlations in these regions, given rise to well-defined magnetic moments that form a magnetic Moiré superlattice. The orientation and magnitude of these magnetic moments changes as function of the gate voltage and possible implications for emergent spin-liquid behaviour are discussed.

18 pages, 20 figures