[en] A modification of the standard recursive Green's function method for quantum transport through microstructures is presented which is based on the decomposition into separable substructures. The Green's functions for these modules are joined by discretized Dyson equations. Nonseparable structures can thereby be calculated with the help of a few recursions with high accuracy. We apply this method to the calculation of ballistic quantum transport through a circular and stadium-shaped quantum dot for high mode numbers to test semi-classical predictions in detail. Among other results we find the breakdown of the semiclassical approximation for long path lengths which is due to the spreading of wave packets in the cavity.
Disciplines :
Physics
Author, co-author :
Rotter, S.; Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics
Tang, J. Z.; University of Tennessee, Knoxville > Department of Physics
Wirtz, Ludger ; Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics
Trost, J.; Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics
Burgdorfer, J.; Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics
Language :
English
Title :
Modular recursive Green's function method for ballistic quantum transport
