Transport theory of coupled quantum dots based on auxiliary operator method

Jung Hyun Oh, D. Ahn, Vladimir Bubanja

Published 2010-10-08Version 1

We formulate the theory of electron transport through coupled-quantum dots by extending the auxiliary operator representation. By using the generating functional technique, we derive the exact expressions for currents, dot-occupation numbers and spin correlations, and examine them based on the non-equilibrium Green's function method under the non-crossing approximation (NCA). Our formulation generalizes the previous NCA approaches by allowing full occupation numbers with a finite Coulomb repulsion.