On the Analyticity of Solutions in the Dynamical Mean-Field Theory
Strongly Correlated Electrons
2009-11-07 v2
Abstract
The unphysical solutions of the periodic Anderson model obtained by H. Keiter and T. Leuders [Europhys. Lett. 49, 801(2000)] in dynamical mean-field theory (DMFT) are shown to result from the author's restricted choice of the functional form of the solution, leading to a violation of the analytic properties of the exact solution. By contrast, iterative solutions of the self-consistency condition within the DMFT obtained by techniques which preserve the correct analytic properties of the exact solution (e.g., quantum Monte-Carlo simulations or the numerical renormalization group) always lead to physical solutions.
Keywords
Cite
@article{arxiv.cond-mat/0105456,
title = {On the Analyticity of Solutions in the Dynamical Mean-Field Theory},
author = {Th. Pruschke and W. Metzner and D. Vollhardt},
journal= {arXiv preprint arXiv:cond-mat/0105456},
year = {2009}
}
Comments
4 pages, 1 figure