Multiplicity of solutions to GW-type approximations
Strongly Correlated Electrons
2015-09-16 v1
Abstract
We show that the equations underlying the approximation have a large number of solutions. This raises the question: which is the physical solution? We provide two theorems which explain why the methods currently in use do, in fact, find the correct solution. These theorems are general enough to cover a large class of similar algorithms. An efficient algorithm for including self-consistent vertex corrections well beyond is also described and further used in numerical validation of the two theorems.
Keywords
Cite
@article{arxiv.1205.4274,
title = {Multiplicity of solutions to GW-type approximations},
author = {F. Tandetzky and J. K. Dewhurst and S. Sharma and E. K. U. Gross},
journal= {arXiv preprint arXiv:1205.4274},
year = {2015}
}