Inequalities between ground-state energies of Heisenberg models
Mathematical Physics
2015-06-23 v1 Strongly Correlated Electrons
math.MP
Abstract
The Lieb-Schupp inequality is the inequality between ground state en- ergies of certain antiferromagnetic Heisenberg spin systems. In our paper, the numerical value of energy difference given by Lieb-Schupp inequality has been tested for spin systems in various geometries: chains, ladders and quasi-two-dimensional lattices. It turned out that this energy difference was strongly dependent on the class of the system. The relation between this difference and a fall-off of a correlation function has been empirically found and formulated as a conjecture.
Keywords
Cite
@article{arxiv.1410.5322,
title = {Inequalities between ground-state energies of Heisenberg models},
author = {Jacek Wojtkiewicz and Rafał Skolasiński},
journal= {arXiv preprint arXiv:1410.5322},
year = {2015}
}