• DOI:10.1088/0305-4470/34/49/307
• Corpus ID: 118864310

Discrete breathers in anisotropic ferromagnetic spin chains

@article{Speight2001DiscreteBI,
  title={Discrete breathers in anisotropic ferromagnetic spin chains},
  author={J. M. Speight and Paul Sutcliffe},
  journal={Journal of Physics A},
  year={2001},
  volume={34},
  pages={10839-10858}
}

• J. Speight, P. Sutcliffe
• Published 6 November 2001
• Mathematics
• Journal of Physics A

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 one-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 one-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 analysed. It is proved that one-site breathers are stable at small coupling, provided a non-resonance condition holds, and an extensive numerical stability analysis of one-site and multisite breathers is performed. The results show alternating bands of stability and instability as the coupling increases.