CLASSICAL MESOSCOPIC CONDUCTANCE FLUCTUATIONS IN SYSTEMS WITH BOUNDARY SCATTERING

Mesoscopic conductance fluctuations in a 2D electron channel due to co rrelations between classical boundary scattering processes are discuss ed. The contribution to conductance provided by the correlations is ca lculated and analysed; it is a consequence of the inherent roughness o f the boundary. As a result stochastic oscillations for a weak magneti c field are exhibited. In the absence of bulk scattering the stochasti c behaviour has a fractal structure, the fractal dimension being 1.5. It is shown that at higher temperatures classical mesoscopic fluctuati ons, discussed here, dominate over the universal conductance fluctuati ons. Unlike the universal conductance fluctuations, these classical on es are non-universal and reveal a dependence upon the geometry of a sa mple. Such non-universal behaviour of the classical conductance fluctu ations is consistent with recent experimental data observed for ballis tic conductors.