Structure and relevant dimension of the Heisenberg model and applications to spin rings
Materials Science
2009-10-31 v1
Abstract
For the diagonalization of the Hamilton matrix in the Heisenberg model relevant dimensions are determined depending on the applicable symmetries. Results are presented, both, by general formulae in closed form and by the respective numbers for a variety of special systems. In the case of cyclic symmetry, diagonalizations for Heisenberg spin rings are performed with the use of so-called magnon states. Analytically solvable cases of small spin rings are singled out and evaluated.
Keywords
Cite
@article{arxiv.cond-mat/9906382,
title = {Structure and relevant dimension of the Heisenberg model and applications to spin rings},
author = {K. Baerwinkel and H. -J. Schmidt and J. Schnack},
journal= {arXiv preprint arXiv:cond-mat/9906382},
year = {2009}
}
Comments
18 pages, 5 figures, uses epsfig.sty, submitted to Journal of Magnetism and Magnetic Materials. More information at http://www.physik.uni-osnabrueck.de/makrosysteme/