Magnetic solitons in frustrated ferromagnetic spin chain

Abstract

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.

20 pages, 12 figures

References in corpus (13)

• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Multi-magnon bound states in the frustrated ferromagnetic 1D chain
• Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study
• Exact ground state of finite Bose-Einstein condensates on a ring
• Phase Diagram of the One Dimensional $S=1/2$ $XXZ$ model with Ferromagnetic nearest-neighbor and Antiferromagnetic next-nearest neighbor interactions
• Frustrated ferromagnetic spin-1/2 chain in the magnetic field
• Weakly anisotropic frustrated zigzag spin chain
• Temperature dependent optical conductivity of undoped cuprates with weak exchange
• Zigzag spin-S chain near ferromagnet-antiferromagnet transition point
• Topological solitons in highly anisotropic two dimensional ferromagnets
• Multi-magnon bound states in easy-axis ferromagnetic zigzag spin chain
• XXZ-like phase in the F-AF anisotropic Heisenberg chain

Cited by in corpus (4)

• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Low-temperature properties of classical zigzag spin chain at the ferromagnet-helimagnet transition point
• Universal low-temperature properties of frustrated classical spin chain near the ferromagnet-helimagnet transition point
• Low-temperature thermodynamics of the classical frustrated ferromagnetic chain in magnetic field