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}
}
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… 
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References

SHOWING 1-10 OF 17 REFERENCES

Discrete breathers in classical spin lattices.

Discrete breathers ~nonlinear localized modes! have been shown to exist in various nonlinear Hamiltonian lattice systems. In the present paper, we study the dynamics of classical spins interacting

Mobility and reactivity of discrete breathers

Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators

We address the issue of spatially localized periodic oscillations in coupled networks - so-called discrete breathers - in a general context. This context is concerned with general conditions which

Existence of localized excitations in nonlinear Hamiltonian lattices.

  • Flach
  • Mathematics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1995
Using dimensionality properties of separatrix manifolds of mapping, the persistence of NLE solutions under perturbations of the system is shown, provided that the NLE's exist for the given system.

Exponential localization of linear response in networks with exponentially decaying coupling

Let S be a countable metric space with metric d, for each let , be Banach spaces, and let X,Y be the subsets of , respectively, with finite supremum norm over their factors. Let be an invertible

The discrete self-trapping equation