Classical and wave-mechanical aspects of magneto-transport fluctuations in ballistic quantum dots

We examine the magneto-conductance fluctuations in quantum dot structures, for a weak field strength, using both the recursive Green's function technique and a classical simulation of ballistic motion employing semi-classical theory. We analyze the spectral content of the conductance fluctuations by both techniques, where the underlying classical dynamics are regular and chaotic, respectively, by constructing magnetic field conductance correlation functions and compare these with those obtained experimentally. We find that our numerical quantum mechanical correlation function results, for the chaotic dot, are in agreement with the predictions of semiclassical theory and consistent with experimental result.