QUANTUM TRANSPORT IN A DISORDERED NANOSTRUCTURE IN THE PRESENCE OF A MAGNETIC-FIELD

We have studied phase coherent electron transport in a disordered semiconductor quantum wire subjected to a weak magnetic field. Our model treats disorder (elastic scattering) with scattering matrices and uses Weber functions to calculate the elements of the scattering matrices. The Weber functions account for the magnetic field exactly. We find that the universal conductance fluctuations and the two-terminal Landauer resistance of a disordered structure are surprisingly sensitive to whether the scatters are attractive or repulsive and the difference between the effects of attractive and repulsive scatterers is accentuated by the presence of evanescent states. © 1992.