Voltage-dependent scaling of the quantum resistance in 1D disordered systems

We have studied the voltage-dependent scaling of the resistance in a 1D disordered system by using a new Landauer-type resistance formula. The scaling behaviour at high voltage is significantly different from the scaling law due to Anderson et al. [Phys. Rev. B 22 (1980) 3519]. The finite voltage difference between both ends of the wire leads to much better statistical behaviour (in ensemble sense) of the resistance due to self-averaging over energy. Numerical results obtained for a simple model system illustrate the typical behaviour that is expected to be of conceptual importance for real systems.