Thermodynamical limit of general gl(N) spin chains: vacuum state and densities

Details Thermodynamical limit of general gl(N) spin chains: vacuum state and densities Thermodynamical limit of general gl(N) spin chains: vacuum state and densities

2007-01-10

arxiv.org/abs/cond-mat/0701207v2

J.Stat.Mech.0703:P03014,2007

Physics

Condensed Matter

Statistical Mechanics

Latex file, 27 pages, 5 figures (.eps) A more detailed study of the representations allowing string hypothesis has added. A si

Scientific paper

10.1088/1742-5468/2007/03/P03014

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.

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