Theoretical analysis reveals absence of true metallic behavior in two dimensions, indicating universal scaling limits quantum diffusion in disordered systems.
Arguments are presented that the $T=0$ conductance G of a disordered electronic system depends on its length scale L in a universal manner. Asymptotic forms are obtained for the scaling function β(G)=dlnG/dlnL, valid for both GGce² and GGc. In three dimensions, Gc is an unstable fixed point. In two dimensions, there is no true metallic behavior; the conductance crosses over smoothly from logarithmic or slower to exponential decrease with L.
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Abrahams et al. (1979) studied this question.
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