On the level density of spin chains of Haldane--Shastry type
Mathematical Physics
2012-04-18 v1 Statistical Mechanics
math.MP
Abstract
We provide a rigorous proof of the fact that the level density of all su(m) spin chains of Haldane-Shastry type associated with the A_{N-1} root system approaches a Gaussian distribution as the number of spins N tends to infinity. Our approach is based on the study of the large N limit of the characteristic function of the level density, using the description of the spectrum in terms of motifs and the asymptotic behavior of the dispersion relation.
Keywords
Cite
@article{arxiv.1005.3202,
title = {On the level density of spin chains of Haldane--Shastry type},
author = {A. Enciso and F. Finkel and A. Gonzalez-Lopez},
journal= {arXiv preprint arXiv:1005.3202},
year = {2012}
}
Comments
6 pages, revtex