Magnons in the Heisenberg model with a dynamical scaling symmetry

W.J. Caspers, M. Kuźma, B. Lulek and T. Lulek

Physica A: Statistical Mechanics and its Applications, 1998, vol. 252, issue 3, 477-487

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.

Keywords: Heisenberg model; Magnons; Dynamic scaling symmetry (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:252:y:1998:i:3:p:477-487

DOI: 10.1016/S0378-4371(97)00627-4

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