Thermodynamical limit of general gl(N) spin chains: vacuum state and densities
Statistical Mechanics
2011-02-16 v2 Mathematical Physics
math.MP
Abstract
We study the vacuum state of spin chains where each site carry an arbitrary representation. We prove that the string hypothesis, usually used to solve the Bethe ansatz equations, is valid for representations characterized by rectangular Young tableaux. In these cases, we obtain the density of the center of the strings for the vacuum. We work out different examples and, in particular, the spin chains with periodic array of impurities.
Keywords
Cite
@article{arxiv.cond-mat/0701207,
title = {Thermodynamical limit of general gl(N) spin chains: vacuum state and densities},
author = {N. Crampe and L. Frappat and E. Ragoucy},
journal= {arXiv preprint arXiv:cond-mat/0701207},
year = {2011}
}
Comments
Latex file, 27 pages, 5 figures (.eps) A more detailed study of the representations allowing string hypothesis has added. A simpler formula for the densities is given. References added and misprint corrected