Extended Data Fig. 7: Nonlocal transport in presence of one-sided edge accumulation.
From: Long-range nontopological edge currents in charge-neutral graphene
Numerical simulations of the normalized potential \({\mathscr{V}}\) (left column) and of the magnitude of the normalized current density \({\mathscr{J}}\) (right column) at B = ±4 T and λ = 2.54W (η = 0.05, Vbg = −4 V) for the case of charge edge accumulation being present only in the right side of the sample indicated by the pink outline in b. Highly nonlocal transport is observed solely on the right side of the sample, while the left side of the sample exhibits local ohmic transport. a, b, B = 4 T and V0 applied to the top contact. The current (b) emerges from the source (top) and flows clockwise along the top-right edge against the chiral (counterclockwise) direction. It then leaks to the bulk and flows to the left against the global potential drop (a). Since the left side of the sample has local behaviour, in contrast to Fig. 4e, f and Extended Data Fig. 6a, b, the bulk current is drained directly to the bottom contact without continuing its nonlocal flow to the left side. c, d, Same as a, b but with V0 applied to the bottom contact. The polarities of the potentials and the currents are flipped but the spatial distributions remain the same. The current emanates from the source (bottom) into the bulk, flows to the right against the potential, and is drained along the top-right edge. e, f, B = −4 T and V0 applied to the top contact. The polarity of the potential distribution (e) flips relative to a, but the transport (f) remains local in the left side and nonlocal in the right side. The current (f) flows as in d, but along inverted trajectory. g, h, Same as e, f but with V0 applied to the bottom contact. The polarities of the potentials and the currents are flipped relative to a, b, but the spatial distributions remain the same. This one-sided edge accumulation case exemplifies how the two sides of the sample behave almost independently, with nonlocal transport properties of each side being determined by its edge accumulation and disorder.
