Structure of the Hilbert-space of the infinite-dimensional Hubbard model
Strongly Correlated Electrons
2009-10-31 v1
Abstract
An iterative procedure for the explicit construction of the nontrivial subspace of all symmetry-adapted configurations with non-zero weight in the ground-state of the infinite-dimensional Hubbard model is developed on the basis of a symmetrized representation of the transition operators on a sequence of Bethe-Lattices of finite depth. The relation ship between these operators and the well known mapping of the infinite-dimensional Hubbard model onto an effective impurity problem coupled to a (self-consistent) bath on non-interacting electrons is given. As an application we calculate the properties of various Hubbard stars and give estimates for the half-filled Hubbard model with up to 0.1% accuracy.
Keywords
Cite
@article{arxiv.cond-mat/9810318,
title = {Structure of the Hilbert-space of the infinite-dimensional Hubbard model},
author = {C. Gros and W. Wenzel},
journal= {arXiv preprint arXiv:cond-mat/9810318},
year = {2009}
}
Comments
accepted for publication in EJP B