Erratum: Anatomy of Dzyaloshinskii-Moriya Interaction at 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Co</mml:mi><mml:mo>/</mml:mo><mml:mi>Pt</mml:mi></mml:mrow></mml:math>
 Interfaces [Phys. Rev. Lett. 
<b>115</b>
, 267210 (2015)]

Yang, Hongxin; Thiaville, A.; Rohart, Stanislas; Fert, A.; Chshiev, Mairbek

doi:10.1103/physrevlett.118.219901

Cited by 215 publications

(410 citation statements)

References 16 publications

(16 reference statements)

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“…Despite the rather poor skyrmion stability found in the monolayer Co/Pt(111), our study opens a route to improve it. A modest DMI increase, using interface engineering combining under and top layers with opposite sign DMI, as a Pt/Co/Ir 26,40 or Pt/Co/MgO 41 , could be a solution toward room temperature stability for nanometer sized skyrmions.…”

Section: Discussionmentioning

confidence: 99%

“…For a thin film, d ij = d(û ij ×ẑ) 2,29 , withû ij the unit vector between sites i and j and z the normal to the plane. The third term is the uniaxial anisotropy, with constant k, the fourth term is the dipolar coupling and the last term is the Zeeman energy in field H. The parameters are: µ at = S i = 2.1 µ B /atom [30][31][32][33] , J = 29 meV/bond 30 , d = 1.5 meV/bond [25][26][27] , k = 0.4 meV/atom 31,33 (including the shape anisotropy 34 , the effective anisotropy is 0.276 meV/atom in good agreement with literature 31,33 ). The sample is limited by free boundary conditions and the size has been chosen so that an isolated skyrmion is not affected by the edges (no morphology nor energy changes seen for larger calculation box sizes).…”

Section: Magnetic Medium and Skyrmion Descriptionmentioning

confidence: 99%

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Path to collapse for an isolated Néel skyrmion

2016

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A path method is implemented in order to precisely and generally describe the collapse of isolated skyrmions in a Co/Pt(111) monolayer, on the basis of atomic scale simulations. Two collapse mechanisms with different energy barriers are found. The most obvious path, featuring a homogeneous shrinking gives the largest energy, whereas the lowest energy barrier is shown to comply with the outcome of Langevin dynamics under a destabilizing field of 0.25 T, with a lifetime of 20 ns at around 80 K. For this lowest energy barrier path, skyrmion destabilization occurs much before any topology change, suggesting that topology plays a minor role in the skyrmion stability. On the contrary, an important role appears devoted to the Dzyaloshinskii-Moriya interaction, establishing a route towards improved skyrmion stability.

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Section: Discussionmentioning

confidence: 99%

Section: Magnetic Medium and Skyrmion Descriptionmentioning

confidence: 99%

Path to collapse for an isolated Néel skyrmion

2016

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“…[24][25][26][27][28][29] Here, we report on the theoretical study of the lowfrequency eigen-excitations of the Néel skyrmion in ultrathin ferromagnetic films as functions of the DMI strength, and an applied static magnetic field. The dependence on these quantities of individual skyrmion sizes of isolated skyrmions and skyrmion lattices, as well as the lattice constants of the latter were also investigated.…”

Section: Introductionmentioning

confidence: 99%

Eigenmodes of Néel skyrmions in ultrathin magnetic films

Zhang

Hou

et al. 2017

AIP Advances

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The static and dynamic states of Néel skyrmions in ultrathin ferromagnetic films with interfacial Dzyaloshinskii-Moriya interaction (DMI) have been micromagnetically simulated as functions of the interfacial DMI strength and applied static magnetic field. Findings reveal that while the breathing, counterclockwise (CCW) and clockwise (CW) rotational eigenmodes exist in the skyrmion lattice (SkL) phase, only the first two modes are present in the isolated skyrmion (ISk) phase. Additionally, the eigenfrequency of the CCW mode is insensitive to the magnetic-field driven SkLISk phase transition, and the inter-skyrmion interaction is largely responsible for exciting the CW mode in the SkL phase. The findings provide physical insight into the dynamics of the phase transition and would be of use to potential skyrmionbased microwave applications.

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“…The second part of this work deals with the switching of radial vortex, implying its possible use in magnetoresistive memories. We focus on the radial vortex at |D|=2.0mJ/m 2 [24,36,37,38,39]. The device is a circularly shaped MTJ, where a CoFeB polarizer is also coupled to a Pt layer.…”

mentioning

confidence: 99%

Magnetic Radial Vortex Stabilization and Efficient Manipulation Driven by the Dzyaloshinskii-Moriya Interaction and Spin-Transfer Torque

et al. 2016

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Solitons are very promising for the design of the next generation of ultralow power devices for storage and computation. The key ingredient to achieve this goal is the fundamental understanding of their stabilization and manipulation. Here, we show how the interfacial Dzyaloshinskii-Moriya Interaction (i-DMI) is able to lift the energy degeneracy of a magnetic vortex state by stabilizing a topological soliton with radial chirality, hereafter called radial vortex. It has a non-integer skyrmion number S (0.5<|S|<1) due to both the vortex core polarity and the magnetization tilting induced by the i-DMI boundary conditions. Micromagnetic simulations predict that a magnetoresistive memory based on the radial vortex state in both free and polarizer layers can be efficiently switched by a threshold current density smaller than 10 6 A/cm 2 . The switching processes occur via the nucleation of topologically connected vortices and vortexantivortex pairs, followed by spin-wave emissions due to vortex-antivortex annihilations. 2Magnetic solitons, such as domain walls (DWs) [1,2,3,4], vortices [5,6,7,8,9,10,11] and skyrmions [12,13,14,15,16,17] From a fundamental point of view, the stabilization of a radial vortex gives rise to the possibility to create current densities with radial polarization for particle-trapping applications, such as skyrmion [22], analogously to what radially polarized beams can do in many optical systems [23].In order to show the main features and the possible applications of the radial vortex, extensive micromagnetic simulations have been performed. The first part of this letter focuses on the fundamental properties of the radial vortex, in terms of stability as a function of the i-DMI, 3 topology, nucleation as well as response to an in-plane field. The second part is dedicated to the analysis of the switching process of the radial vortex, underlining the differences with the circular vortex.We consider a CoFeB disk having a diameter d=250nm and a thickness t=1.0nm to have an in-plane easy axis at zero external field. To add the i-DMI, we consider the CoFeB coupled with a Pt (heavy metal) layer as already experimentally observed [24]. The study is carried out by means of a state-of-the-art micromagnetic solver which numerically integrates the Landau-Lifshitz-Gilbert (LLG) equation [25,26,27], that includes the i-DMI contribution Fig.4(a)). An H ext =5.0mT yields a uniform magnetic state. Fig.4(b) shows the results for the circular vortex (|D|=0.0mJ/m 2 ). The displacement occurs along the direction perpendicular to the external field (insets Fig.4(b)) [7,32,33,34,35]. Together with the qualitatively different vortex core shift, the field value that leads to the radial vortex core expulsion is twice the one of the circular vortex. This is ascribed to the i-DMI and, in particular, to its boundary conditions, in fact, the expulsion field increases as a function of |D|. The key reason for that is the need of a larger field to align the out-of-plane tilted spins at the sample edges 5 perpendicu...

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Erratum: Anatomy of Dzyaloshinskii-Moriya Interaction at Co/Pt Interfaces [Phys. Rev. Lett. 115 , 267210 (2015)]

Abstract: This corrects the article DOI: 10.1103/PhysRevLett.115.267210.

Cited by 215 publications

References 16 publications

Path to collapse for an isolated Néel skyrmion

Path to collapse for an isolated Néel skyrmion

Eigenmodes of Néel skyrmions in ultrathin magnetic films

Magnetic Radial Vortex Stabilization and Efficient Manipulation Driven by the Dzyaloshinskii-Moriya Interaction and Spin-Transfer Torque

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