A fundamental understanding of electronic transport properties in mesoscopic devices is crucial for sustaining the technological advancement in the field of modern electronic devices. As a consequence of length scales involved in these devices, quantum mechanical effects inevitably show up in the associated observables such as Landauer conductance, shot-noise power etc. One of the powerful approaches for statistical analysis of electronic transport properties in such devices is Random Matrix Theory (RMT). It has been highly successful in modeling the scattering problem that underlies the quantum transport phenomena and has led to several important predictions, such as universal conductance fluctuations, weak localization/antilocalization, Coulomb blockade conductance etc., that have been confirmed in a number of experiments as well.
The aim of this project has been to explore various aspects of quantum transport in mesoscopic systems using the tools of RMT, with emphasis on (a) significantly improving existing results, (b) deriving new results concerning important electronic transport observables, and (c) use of computational approach aided by software/simulation packages to simulate and test the analytical predictions.
Dr. Santosh Kumar