Magnons in the Heisenberg model with a dynamical scaling symmetry

Abstract

A special Heisenberg model is considered for which the exchange integral takes on the same value J not only for geometrically equivalent neighbours, but also for such j-neighbours which constitute an orbit of a “hidden” symmetry group of scaling transformations. The dispersion law for magnons for this model constitutes a reproduction of some rules of arithmetic number theory. The extra symmetry is illustrated by a chain of 12 spins, which may be shown to be equivalent to a toroidal 4 × 3-periodic crystal. c © 1998 Elsevier Science B.V. All rights reserved. PACS: 02.20.+b; 03.65.Fd; 75.10.Jm; 75.40.Gb

3 Figures and Tables

Cite this paper

@inproceedings{Caspers1998MagnonsIT, title={Magnons in the Heisenberg model with a dynamical scaling symmetry}, author={W. J. Caspers and Tadeusz Lulek}, year={1998} }