Conductance distribution between Hall plateaus

Details Conductance distribution between Hall plateaus Conductance distribution between Hall plateaus

1999-01-28

arxiv.org/abs/cond-mat/9901328v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 5 ps figures, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.60.8992

Mesoscopic fluctuations of two-port conductance and four-port resistance between Hall plateaus are studied within a realistic model for a two-dimensional electron gas in a perpendicular magnetic field and a smooth disordered potential. The two-port conductance distribution $P(g)$ is concave between $g=0$ and $g=1$ and is nearly flat between $g=0.2$ and $g=0.8$. These characteristics are consistent with recent observations. The distribution is found to be sharply peaked near the end-points $g=0$ and $g=1$. The distribution functions for the three independent resistances in a four-port Hall bar geometry are, on the other hand, characterized by a central peak and a relatively large width.

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