The Mott insulator - 10th order perturbation theory extended to infinite order using QMC
Abstract
We present a new method, based on the combination of analytical and numerical techniques within the framework of the dynamical mean-field theory (DMFT). Building upon numerically exact results obtained in an improved quantum Monte Carlo (QMC) scheme, 10th order strong-coupling perturbation theory for the Hubbard model on the Bethe lattice is extrapolated to infinite order. We obtain continuous estimates of energy E and double occupancy D with unprecedented precision O(10^{-5}) for the Mott insulator above its stability edge U_{c1}=4.78 as well as critical exponents. The relevance for recent experiments on Cr-doped V_2O_3 is pointed out.
Keywords
Cite
@article{arxiv.cond-mat/0404568,
title = {The Mott insulator - 10th order perturbation theory extended to infinite order using QMC},
author = {N. Blümer and E. Kalinowski},
journal= {arXiv preprint arXiv:cond-mat/0404568},
year = {2007}
}
Comments
4 pages, 5 figures. Significant changes in introduction and summary; experimental reference added; Figs. 1 and 3 modified