Solitons on a discrete ferromagnetic spin chain

Etrich, C.; Mikeska, H. J.; Magyari, E.; Thomas, H.; Weber, R.

doi:10.1007/bf01303739

Cited by 39 publications

(7 citation statements)

References 26 publications

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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%

Semiclassical dynamics of domain walls in the one-dimensional Ising ferromagnet in a transverse field

Иванов

Mikeska

2004

Phys. Rev. B

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We investigate analytically and numerically the dynamics of domain walls in a spin chain with ferromagnetic Ising interaction and subject to an external magnetic field perpendicular to the easy magnetization axis (transverse field Ising model). The analytical results obtained within the continuum approximation and numerical simulations performed for discrete classical model are used to analyze the quantum properties of domain walls using the semiclassical approximation. We show that the domain wall spectrum shows a band structure consisting of 2S non-intersecting zones.

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Section: Domain Wall Dynamics In Continuum Approximationmentioning

confidence: 93%

Semiclassical dynamics of domain walls in the one-dimensional Ising ferromagnet in a transverse field

Иванов

Mikeska

2004

Phys. Rev. B

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“…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%

Magnetic solitons in a frustrated ferromagnetic spin chain

Дмитриев

Krivnov

2010

Phys. Rev. B

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We study the classical anisotropic ferromagnetic spin chain with frustration. The behavior of soliton and kink solutions in the vicinity of the ground state phase transition from the ferromagnetic to the spiral phase is studied. The dependence of the soliton energy on small anisotropy parameter is established using scaling estimates and numerical minimization of the energy functional. Conditions of the existence of the solitons are determined. It is shown that solitons survive in the spiral phase though with some restrictions on their size. A comparison of the energies of the classical solitons and the bound magnon complexes in the quantum model shows the functional similarity between them. The influence of the finite-size effects on the soliton states is studied and it is shown that the localized solitons originate from the uniform state when the system size exceeds some critical value depending on the anisotropy. * Electronic address: dmitriev@deom.chph.ras.ru

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“…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%