Analytical approximations to the core radius and energy of magnetic vortex in thin ferromagnetic disks
Source abstract
Abstract
The energy of magnetic vortex core and its equilibrium radius in thin circular cylinder were first presented by N.A. Usov and S.E. Peschany in 1994. Yet, the magnetostatic function, entering the energy expression, is hard to evaluate and approximate. In this communication precise and explicit analytical approximations to this function (as well as equilibrium vortex core radius and energy) are derived in terms of elementary functions. Also, several simplifying approximations to the magnetic Hamiltonian and their impact on theoretical stability of magnetic vortex state are discussed.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Magnetic properties of thin films · Physics of Superconductivity and Magnetism · Magnetic Properties and Applications
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References (19)
Show source-provided references
1. A unified field theory of mesons and baryons10.1016/0029-5582(62)90775-7 ↗
2. Metastable states of two-dimensional isotropic ferromagnet
3. Point singularities in micromagnetism10.1063/1.1656144 ↗
4. Pseudoparticle configurations in two-dimensional ferromagnets10.1063/1.523400 ↗
5. Meron configurations in the two-dimensional o(3) σ-model10.1016/0550-3213(78)90470-4 ↗
6. K.L. Metlov, Two-dimensional topological solitons in small exchange-dominated cylindrical ferromagnetic particles arXiv:cond-mat/0012146 (2000).
7. Ordering, metastability and phase transitions in two-dimensional systems10.1088/0022-3719/6/7/010 ↗
8. Magnetization curling in a fine cylindrical particle10.1016/0304-8853(93)90428-5 ↗
9. Magnetization curling in a thin ferromagnetic cylinder
10. Magnetic vortex core observation in circular dots of permalloy10.1126/science.289.5481.930 ↗
11. Magnetic vortex core reversal by excitation with short bursts of an alternating field10.1038/nature05240 ↗
12. Simulations of the dynamic switching of vortex chirality in magnetic nanodisks by a uniform field pulse10.1103/PhysRevB.80.140404 ↗
13. Magnetic vortex oscillator driven by d.c. spin-polarized current10.1038/nphys619 ↗
14. Magnetization patterns in ferromagnetic nano-elements as functions of complex variable10.1103/PhysRevLett.105.107201 ↗
15. Aharoni · 1996
16. Retardation effects in Landau–Lifshitz–Gilbert equation10.1103/PhysRevB.83.134434 ↗
17. Another thin-film limit of micromagnetics10.1007/s00205-005-0372-7 ↗
18. Evolution and stability of a magnetic vortex in small cylindrical ferromagnetic particle under applied field10.1103/PhysRevB.63.100403 ↗
19. Stability of magnetic vortex in soft magnetic nano-sized circular cylinder10.1016/S0304-8853(01)01360-9 ↗