Structure and relevant dimension of the Heisenberg model and applications to spin rings

Details Structure and relevant dimension of the Heisenberg model and applications to spin rings Structure and relevant dimension of the Heisenberg model and applications to spin rings

1999-06-25

arxiv.org/abs/cond-mat/9906382v1

J. Magn. Magn. Mater. 212 (2000) 240

Physics

Condensed Matter

Materials Science

18 pages, 5 figures, uses epsfig.sty, submitted to Journal of Magnetism and Magnetic Materials. More information at http://w

Scientific paper

10.1016/S0304-8853(99)00579-X

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.

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