Why Calculate in Infinite Dimensions?
Strongly Correlated Electrons
2022-10-13 v1 Statistical Mechanics
Abstract
A pedagogical introduction to solving classical and quantum many-body models in infinite spatial dimensions is given. The solution of the Hubbard model obtained in this limit is discussed in detail. It corresponds to a dynamical mean-field theory, which allows to compute the properties of correlated electrons in models and materials.
Cite
@article{arxiv.2210.06072,
title = {Why Calculate in Infinite Dimensions?},
author = {Dieter Vollhardt},
journal= {arXiv preprint arXiv:2210.06072},
year = {2022}
}
Comments
45 pages, 4 figures, 177 references. Lecture notes for the Autumn School on Correlated Electrons, Forschungszentrum J\"ulich, October 2022; published version with some changes in wording