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 $P\left(g\right)\mathrm{}$ is concave between $g=0\mathrm{}$ and $g=1\mathrm{}$ and is nearly flat between $g=0.2\mathrm{}$ and $g=\mathrm{0.8.}\mathrm{}$ These characteristics are consistent with recent observations. The distribution is found to be sharply peaked near the end points $g=0\mathrm{}$ and $g=1.\mathrm{}$ 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.

• Received 16 September 1998

DOI:https://doi.org/10.1103/PhysRevB.60.8992