2016
DOI: 10.1103/physrevb.94.144402
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Topologically stable magnetization states on a spherical shell: Curvature-stabilized skyrmions

Abstract: Topologically stable structures include vortices in a wide variety of matter, such as skyrmions in ferro-and antiferromagnets, and hedgehog point defects in liquid crystals and ferromagnets. These are characterized by integer-valued topological quantum numbers. In this context, closed surfaces are a prominent subject of study as they form a link between fundamental mathematical theorems and real physical systems. Here we perform an analysis on the topology and stability of equilibrium magnetization states for … Show more

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Cited by 91 publications
(94 citation statements)
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References 87 publications
(154 reference statements)
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“…In contrast to simulations, not much is done to describe the dynamic responses analytically. In this respect, the general expression for the gyrocoupling vector for an arbitrary curvilinear surface is already derived [40]. This expression is necessary for any further collective variable description of the dynamics of solitonic states, like domain walls and skyrmions on curved surfaces.…”
Section: Denys Makarovmentioning
confidence: 99%
See 1 more Smart Citation
“…In contrast to simulations, not much is done to describe the dynamic responses analytically. In this respect, the general expression for the gyrocoupling vector for an arbitrary curvilinear surface is already derived [40]. This expression is necessary for any further collective variable description of the dynamics of solitonic states, like domain walls and skyrmions on curved surfaces.…”
Section: Denys Makarovmentioning
confidence: 99%
“…Furthermore, it was recently demonstrated that magnetic skyrmions can be stabilized on a spherical shell by curvature effects only, even when the intrinsic DMI is absent [40].…”
Section: Denys Makarovmentioning
confidence: 99%
“…The first term in (A4a) is the exchange density E ex = i=x,y,z (∂ i m) 2 with A being exchange constant. In the curvilinear reference frame exchange energy can be written as [50][51][52]…”
Section: Discussionmentioning
confidence: 99%
“…Magnetic skyrmions are particle-like chiral magnetization states that are promising as an information carrier due to their attractive characteristics such as nanometre dimensions, and topological stability [1][2][3][4][5][6][7][8][9][10][11]. In the implementation of a magnetic skyrmion racetrack memory, the transport techniques explored thus far have been mainly limited to the use of spin-polarized electrical current injection which utilizes spin transfer torque (STT) and spin-orbit torque (SOT).…”
Section: Introductionmentioning
confidence: 99%