Fluctuation phenomena in chaotic Dirac quantum dots: Artificial atoms on graphene flakes

Abstract

We develop the stub model for the Dirac quantum dot, an electron confining device on a grapheme surface. Analytical results for the average conductance and the correlation functions are obtained and found in agreement with those found previously using semiclassical calculation. Comparison with available data is presented. The results reported here demonstrate the applicability of random matrix theory in the case of Dirac electrons confined in a stadium.