CONDUCTANCE OF A SINGLE-MODE ELECTRON WAVE-GUIDE WITH STATISTICALLY IDENTICAL ROUGH BOUNDARIES

The transport characteristics of purr narrow 2D conductors, in which t he electron scattering is caused by rough side boundaries, have been s tudied. The conductance of such strips is highly sensitive to the inte rcorrelation properties of inhomogeneities of the opposite edges. The case with completely correlated statistically identical boundaries (CC B) is a peculiar one. Herein the electron scattering is uniquely due t o fluctuations of the asperity slope and is not related to the strip w idth fluctuations. Owing to this, the electron relaxation lengths, and specifically the localization length, depend quite differently on the asperity parameters as compared to the case for conductors with arbit rarily intercorrelated edges. A method for calculating the dynamical c haracteristics of the CCB electron waveguides is proposed clear of any restrictions on the asperity height.