Conductance Fluctuation of Mesoscopic Systems near the Insulating Regime

Abstract

The conductance fluctuation of mesoscopic systems at zero temperature is studied numerically by using a simple model of random lattices, with emphasis on its behavior when the degree of randomness increases. It is found that the energy dependence of the conductance has a spiky structure near the insulating regime where the conductance completely vanishes. The result is explained qualitatively as a contribution from a small number of energy levels which remain extended.