Extended Data Fig. 5: The origin of equilibrium currents in the compressible and incompressible quantum Hall states. | Nature

Extended Data Fig. 5: The origin of equilibrium currents in the compressible and incompressible quantum Hall states.

From: Mapping the twist-angle disorder and Landau levels in magic-angle graphene

Extended Data Fig. 5: The origin of equilibrium currents in the compressible and incompressible quantum Hall states.

a, Semiclassical picture of cyclotron orbits of holes with mutually canceling neighbouring currents, resulting in zero bulk current. b, In the presence of an in-plane electric field Ex (+ and − signs represent external charges) the cyclotron orbits acquire a drift velocity resulting in a non-zero \({J}_{y}^{{\rm{T}}}\) in the incompressible state. c, In the compressible regime the external in-plane electric field is screened by establishing a charge-density gradient, giving rise to \({J}_{y}^{{\rm{NT}}}\) flowing in the opposite direction (cyan arrows).

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