MAGNONS IN THE HEISENBERG-MODEL WITH A DYNAMICAL SCALING SYMMETRY

Citation
Wj. Caspers et al., MAGNONS IN THE HEISENBERG-MODEL WITH A DYNAMICAL SCALING SYMMETRY, Physica. A, 252(3-4), 1998, pp. 477-487
Citations number
11
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
252
Issue
3-4
Year of publication
1998
Pages
477 - 487
Database
ISI
SICI code
0378-4371(1998)252:3-4<477:MITHWA>2.0.ZU;2-P
Abstract
A special Heisenberg model is considered for which the exchange integr al takes on the same value J not only for geometrically equivalent nei ghbours, 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 rule s 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 x 3-periodic crystal. (C) 1998 Elsevier Science B.V. All rights reser ved.