A scaling argument is used to demonstrate the existence of a minimum metallic conductivity with a universal value for two-dimensional random lattices. We present a summary of the results of a detailed numerical experiment which supports this suggestion and indicates that the minimum metallic conductivity is $(0.12\mathrm{}\pm 0.03)\frac{e^2}{\hslash }$, in fair agreement with some experimental results for inversion layers.

• Received 30 June 1975

DOI:https://doi.org/10.1103/PhysRevLett.35.1475