Formulação via Kwant do transporte eletrônico em cavidades mesoscópicas caóticas conectadas a dois guias: os casos com guias ideais e com um dos guias não ideal

Abstract

The random matrix theory (RMT) approach has been quite fruitful in the statistical investigation of quantum transport in chaotic mesoscopic cavities, and has led to several intriguing theoretical predictions over the years. The application of the RMT approach consists of modeling the mesoscopic cavity as a chaotic quantum scattering region coupled to leads that connect this region to electron reservoirs. In this work, we use Kwant, an open source Python based package, to investigate how the statistics of transport properties, in particular the Landauer conductance and the shotnoise power, of a quantum dot connected to two leads change when the time-reversal symmetry is gradually broken by an external magnetic field. We investigate these transport statistics in chaotic mesoscopic cavities connected to ideal leads, and also in chaotic cavities connected to one non-ideal and one ideal lead. We use Kwant to generate a set scattering matrices with the desired number of open channels in the leads connected to the cavity and compute the conductance and shotnoise power distributions. We observed that the results obtained from simulations based on the Tight-Binding Method (which is used in Kwant), carried out with or without a magnetic field, are in good agreement with the RMT predictions for the symmetry classes of the Dyson circular ensemble studied in this work.