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The critical two-terminal conductance $g_c$ and the spatial fluctuations ofcritical eigenstates are investigated for a disordered two dimensional model ofnon-interacting electrons subject to spin-orbit scattering (Ando model). Forsquare samples, we verify numerically the relation $\sigma_c=1/[2\pi(2-D(1))]e^2/h$ between critical conductivity $\sigma_c=g_c=(1.42\pm 0.005) e^2/h$ andthe fractal information dimension of the electron wave function, $D(1)=1.889\pm0.001$. Through a detailed numerical scaling analysis of the two-terminalconductance we also estimate the critical exponent $\nu=2.80\pm 0.04$ thatgoverns the quantum phase transition.Comment: IOP Latex, 7 figure

Critical regime of two-dimensional Ando model: relation between critical conductance and fractal dimension of electronic eigenstates