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The Interrelation between Incompressible Strips and Quantized Hall Plateaus

Afif Siddiki·Rolf R. Gerhardts
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Abstract

We study the current and charge distribution of a two dimensional electron gas under strong perpendicular magnetic fields within the linear response regime. We show within a self-consistent screening theory that incompressible strips with integer values of local Landau-level filling factor exist for finite intervals of the magnetic field strength $B$. Within an essentially local conductivity model, we find that the current density in these $B$ intervals is confined to the incompressible strips of vanishing local longitudinal resistivity. This leads to vanishing longitudinal and exactly quantized Hall resistance, and to a nice agreement of the calculated Hall potential profiles with the measured ones.

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Afif Siddiki, Rolf R. Gerhardts. 2004-08-19. The Interrelation between Incompressible Strips and Quantized Hall Plateaus. https://doi.org/10.1142/s0217979204026974

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