Embedding method for the scattering phase in strongly correlated quantum dots
Abstract
The embedding method for the calculation of the conductance through interacting systems connected to single channel leads is generalized to obtain the full complex transmission amplitude that completely characterizes the effective scattering matrix of the system at the Fermi energy. We calculate the transmission amplitude as a function of the gate potential for simple diamond-shaped lattice models of quantum dots with nearest neighbor interactions. In our simple models we do not generally observe an interaction dependent change in the number of zeroes or phase lapses that depend only on the symmetry properties of the underlying lattice. Strong correlations separate and reduce the widths of the resonant peaks while preserving the qualitative properites of the scattering phase.
Cite
@article{arxiv.1202.1253,
title = {Embedding method for the scattering phase in strongly correlated quantum dots},
author = {Rafael A. Molina and Peter Schmitteckert and Dietmar Weinmann and Rodolfo A. Jalabert and Philippe Jacquod},
journal= {arXiv preprint arXiv:1202.1253},
year = {2015}
}
Comments
11 pages, 3 figures. Proceedings of the Workshop on Advanced Many-Body and Statistical Methods in Mesoscopic Systems, Constanta, Romania, June 27th - July 2nd 2011. To appear in Journal of Physics: Conference Series