Scaling of the conductance in anisotropic 2d systems

We investigate the scaling of conductances in anisotropic two-dimensional systems. The conductance and its distribution in the two directions are found to be approximately the same, once the dimension of the system in each direction is chosen to be proportional to the localization length. At the localization}delocalization transition under a strong magnetic "eld, the geometrical mean of the conductance in the two directions is not universal. The distribution of conductances at the critical point also show distinctive features in the two directions. 2001 Elsevier Science B.V. All rights reserved.