Eur. Phys. J. B 37, 499-506 (2004)
https://doi.org/10.1140/epjb/e2004-00086-0

Effect of pinning fields on the spin wave band gaps in comblike structures

¹ Faculty of Engineering, Zagazig University, Benha Branch, 11241 Cairo, Egypt
² Laboratoire de Dynamique et Structures des Matériaux Moléculaires, ESA CNRS 8024, UFR de Physique, Université de Lille1, 59655 Villeneuve d'Ascq Cedex, France
³ Département de Physique, Faculté des Sciences, Université Moulay Ismail, Meknès, Morocco

Corresponding author: ^a abdellatif.akjouj@univ-lille1.fr

Received: 15 May 2003
Revised: 17 October 2003
Published online: 9 April 2004

Abstract

We consider, in the frame of the long-wavelength Heisenberg model, the effect of a pinning field on the spin wave band gaps and transmission spectra of one-dimensional comb-like structures. Using a Green's function method, we obtained closed-form expressions for the band structure and the transmission coefficients for an arbitrary value of the number N of sites (N'of resonators) in the comb-like structure. We report the opening-up of stop bands inside the pass-bands due to the effect of the pinning field at the ends of the resonators of the comb. These structures, composed of one-dimensional ferromagnetic materials, may exhibit large gaps where the propagation of spin waves is forbidden. The width and frequency position of these gaps depends on the strength of the pinning field.