Functional renormalization group for non-equilibrium quantum many-body problems
Strongly Correlated Electrons
2013-05-29 v2 Mesoscale and Nanoscale Physics
Abstract
We extend the concept of the functional renormalization for quantum many-body problems to non-equilibrium situations. Using a suitable generating functional based on the Keldysh approach, we derive a system of coupled differential equations for the -particle vertex functions. The approach is completely general and allows calculations for both stationary and time-dependent situations. As a specific example we study the stationary state transport through a quantum dot with local Coulomb correlations at finite bias voltage employing two different truncation schemes for the infinite hierarchy of equations arising in the functional renormalization group scheme.
Cite
@article{arxiv.cond-mat/0609457,
title = {Functional renormalization group for non-equilibrium quantum many-body problems},
author = {R. Gezzi and Th. Pruschke and V. Meden},
journal= {arXiv preprint arXiv:cond-mat/0609457},
year = {2013}
}