The Interrelation between Incompressible Strips and Quantized Hall Plateaus

Details The Interrelation between Incompressible Strips and Quantized Hall Plateaus The Interrelation between Incompressible Strips and Quantized Hall Plateaus

2004-08-19

arxiv.org/abs/cond-mat/0408434v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 3 figures

Scientific paper

10.1142/S0217979204026974

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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