1994
DOI: 10.1002/pssb.2221860223
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The Properties of Isolated Magnetic Vortices

Abstract: Isolated magnetic vortices are stabilized by an antisymmetric exchange interaction, the so-called Dzyaloshinsky interaction, which can be represented as an energy contribution linear in the first spatial derivatives of the magnetization vector. In contrast, vortex lines are demonstrated to be unstable in the bulk of regular uniaxial ferromagnets. They collapse spontaneously under the influence of anisotropy or an applied magnetic field. In reduced units the differential equation for isolated vortices contains … Show more

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Cited by 188 publications
(261 citation statements)
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“…The spin configuration forming a hedgehog is also due to the DMI. Second, a skyrmion is stabilized dynamically by the DMI 16,17 . Although the topological number Q is defined even without the DMI, it does not have any role if a hedgehog spin configuration is not formed to generate Q ÂŒ 1.…”
Section: Resultsmentioning
confidence: 99%
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“…The spin configuration forming a hedgehog is also due to the DMI. Second, a skyrmion is stabilized dynamically by the DMI 16,17 . Although the topological number Q is defined even without the DMI, it does not have any role if a hedgehog spin configuration is not formed to generate Q ÂŒ 1.…”
Section: Resultsmentioning
confidence: 99%
“…Recent experimental observation of skyrmions in chiral ferromagnet evokes a flourish of its extensive study [3][4][5][6][7][8][9][10][11][12][13][14][15] . It is stabilized dynamically by the Dzyaloshinskii-Moriya interaction (DMI) and external magnetic field [16][17][18][19][20] . Once it is created, its stability is topologically protected against dissipation and fluctuation even in the presence of large defects 2,21 .…”
mentioning
confidence: 99%
“…Secondly, GVS exhibits an interesting magnetic cycloidal order between T FM and T N = 13 K, which can be transformed by a moderate magnetic field (of about 40 mT) into a NĂ©el-type skyrmion lattice (SkL) phase [2]. As predicted in the seminal works of Bogdanov et al [3][4][5] the important prerequisite for the appearance of this very unusual spin texture (NĂ©el-type SkL) is the polar macroscopic symmetry of the underlying crystal lattice. In GVS, the suitable C 3v symmetry emerges together with the ferroelectric polarization below the JahnTeller phase transition T JT = 42 K [6,7].…”
mentioning
confidence: 97%
“…This chiral DM interaction was shown to favour non-uniform magnetic structures [8][9][10][11]. Prominently, the nowadays so-called skyrmion, a topologically stable vortex-like spin texture with unconventional spin-electronic phenomena, has been proved to exist in helical magnets with B20 structure [12].…”
mentioning
confidence: 98%