Discrete Breathers in Anisotropic Ferromagnetic Spin Chains
| dc.creator | Speight, J. M. | |
| dc.creator | Sutcliffe, P. M. | |
| dc.date | 2001-11-06 | |
| dc.date.accessioned | 2026-07-07T10:51:40Z | |
| dc.date.available | 2026-07-07T10:51:40Z | |
| dc.description | We prove the existence of discrete breathers (time-periodic, spatially localized solutions) in weakly coupled ferromagnetic spin chains with easy-axis anisotropy. Using numerical methods we then investigate the continuation of discrete breather solutions as the intersite coupling is increased. We find a band of frequencies for which the 1-site breather continues all the way to the soliton solution in the continuum. There is a second band, which abuts the first, in which the 1-site breather does not continue to the soliton solution, but a certain multi-site breather does. This banded structure continues, so that in each band there is a particular multi-site breather which continues to the soliton solution. A detailed analysis is presented, including an exposition of how the bifurcation pattern changes as a band is crossed. The linear stability of breathers is analyzed. It is proved that 1-site breathers are stable at small coupling, provided a non-resonance condition holds, and an extensive numerical stability analysis of 1-site and multisite breathers is performed. The results show alternating bands of stability and instability as the coupling increases. | |
| dc.description | 21 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0111085 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0111085 | |
| dc.identifier | J.Phys.A34:10839-10858,2001 | |
| dc.identifier | doi:10.1088/0305-4470/34/49/307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184895 | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Discrete Breathers in Anisotropic Ferromagnetic Spin Chains | |
| dc.type | text |