1985
DOI: 10.1007/bf01303739
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Solitons on a discrete ferromagnetic spin chain

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Cited by 39 publications
(7 citation statements)
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“…These include the Heisenberg chain with two single ion anisotropies 17,18,19 , the Ising chain with transverse exchange breaking the xy−symmetry 20 and the xy−like Heisenberg chain with an external symmetry breaking field. 21,22 The qualitative results for kink solitons with permanent shape are analogous in all these models: The dispersion relation, energy vs. velocity, has two branches and one distinguishes between the lower energy domain wall (LDW) and the upper energy domain wall (UDW). The energies of these two solutions merge at the maximum possible velocity V = V c .…”
Section: Domain Wall Dynamics In Continuum Approximationmentioning
confidence: 93%
“…These include the Heisenberg chain with two single ion anisotropies 17,18,19 , the Ising chain with transverse exchange breaking the xy−symmetry 20 and the xy−like Heisenberg chain with an external symmetry breaking field. 21,22 The qualitative results for kink solitons with permanent shape are analogous in all these models: The dispersion relation, energy vs. velocity, has two branches and one distinguishes between the lower energy domain wall (LDW) and the upper energy domain wall (UDW). The energies of these two solutions merge at the maximum possible velocity V = V c .…”
Section: Domain Wall Dynamics In Continuum Approximationmentioning
confidence: 93%
“…Unfortunately, in spite of substantial simplification of the initial equation of motion (29), the exact solution of this equation is unknown and we have to use numerical calculation.…”
Section: Classical Continuum Spin Model Near the It Pointmentioning
confidence: 99%
“…The numerical calculations showed that for small α the difference between the discrete and the continuum models is negligible as expected and it increases as α grows. On the investigation of the dynamics of solitons we restrict ourself to small anisotropy α ≪ 1, when the continuum approximation is valid, because in the discrete model with finite α a so-called pinning potential appears [29,30] and the momentum becomes undefined. So, on default we will present numerical results for the discrete classical model (4), keeping in mind that the continuum approach corresponds to the limit α → 0.…”
Section: Numerical Calculationsmentioning
confidence: 99%
“…However, if the length J a of this kink is not large enough, the continuum approximation [10] fails and one expects competition between the length scale of a spatial structure and the lattice constant. Several papers have studied the corresponding classical discrete system [1], [2]. This paper is devoted to study of stationary localized structures connecting two homogeneous domains in a model of a ferromagnetic chain with one kind of atom; quantum corrections [3] are neglected.…”
Section: Introductionmentioning
confidence: 99%