Abstract
The crossover properties of the quantum conductance in a 1D constriction from the ballistic to the diffusive regime are investigated analytically. In the ballistic regime, the well-known plateau structures are found. As more impurities are added to the system, we are able to show that interesting “dip” structures should be found when new quantum channels become open. The higher the new quantum channel index, the deeper the dip will be. When the degree of disorder increases, the ensemble-averaged conductance is shown to be reduced, but the dip structure can still be seen as long as the diffusive regime is not reached. Our analytical results are in agreement with recent experiments as well as numerical simulations.
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