CLASSICAL AND WAVE-MECHANICAL ASPECTS OF MAGNETOTRANSPORT FLUCTUATIONS IN BALLISTIC QUANTUM DOTS

We examine the magneto-conductance fluctuations in quantum dot structu res, for a weak field strength, using both the recursive Green's funct ion technique and a classical simulation of ballistic motion employing semi-classical theory. We analyze the spectral content of the conduct ance fluctuations by both techniques, where the underlying classical d ynamics are regular and chaotic, respectively, by constructing magneti c field conductance correlation functions and compare these with those obtained experimentally. We find that our numerical quantum mechanica l correlation function results, for the chaotic dot, are in agreement with the predictions of semiclassical theory and consistent with exper imental result.