# 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…

## 10 Citations

### Existence of breathers in classical ferromagnetic lattices

- Physics
- 2004

In this paper, we study the dynamics of classical spins interacting via Heisenberg exchange in the presence of a single-ion anisotropy on spatial d-dimensional lattices. We focus on easy-plane…

### Existence of breathers in classical ferromagnetic lattices

- Physics
- 2004

In this paper, we study the dynamics of classical spins interacting via Heisenberg exchange in the presence of a single-ion anisotropy on spatial d-dimensional lattices. We focus on easy-plane…

### Discrete breathers in classical ferromagnetic lattices with easy-plane anisotropy.

- PhysicsChaos
- 2003

This paper is devoted to the investigation of a classical d-dimensional ferromagnetic lattice with easy plane anisotropy with Heisenberg model, and shows the existence of a big variety of these breather solutions, depending on the respective orientation of the tilted spins.

### Quantum Breathers in Anisotropy Ferromagnetic Chains with Second-Order Coupling

- Physics
- 2016

Under considering the next-nearest-neighbor interaction, quantum breathers in one-dimensional anisotropy ferromagnetic chains are theortically studied. By introducing the Dyson-Maleev transformation…

### Quantum Breathers in Anisotropy Ferromagnetic Chains with Second-Order Coupling

- PhysicsInternational Journal of Theoretical Physics
- 2016

Under considering the next-nearest-neighbor interaction, quantum breathers in one-dimensional anisotropy ferromagnetic chains are theortically studied. By introducing the Dyson-Maleev transformation…

### Breather–phonon resonances in finite-size lattices: ‘phantom breathers’?

- Physics
- 2002

We investigate the resonance mechanisms for discrete breathers in finite-size Klein-Gordon lattices, when some harmonic of the breather frequency enters the linear phonon band. For soft on-site…

### Quantum breathers in XXZ ferromagnetic chains with on-site easy-plane anisotropy

- Physics
- 2016

The existence and properties of quantum breathers in a one-dimensional XXZ ferromagnetic Heisenberg spin chain with single-ion easy-plane anisotropy are investigated analytically in the Hartree…

## References

SHOWING 1-10 OF 17 REFERENCES

### Discrete breathers in classical spin lattices.

- Physics
- 2001

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…

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

- Mathematics
- 1997

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.

- MathematicsPhysical 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

- Mathematics
- 1997

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…