2010
DOI: 10.1103/physrevb.82.094429
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Skyrmion lattice in a two-dimensional chiral magnet

Abstract: We develop a theory of the magnetic field-induced formation of Skyrmion crystal state in chiral magnets in two spatial dimensions, motivated by the recent discovery of the Skyrmionic phase of magnetization in thin film of Fe0.5Co0.5Si and in the A-phase of MnSi. Ginzburg-Landau functional of the chiral magnet re-written in the CP 1 representation is shown to be a convenient framework for the analysis of the Skyrmion states. Phase diagram of the model at zero temperature gives a sequence of ground states, helic… Show more

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Cited by 188 publications
(190 citation statements)
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“…Figure 3d shows that for fcc Pd stacking the exchange interaction favours the skyrmion over the ferromagnetic state (Eo0). This is in contradiction to the predictions from the micromagnetic model that assumes a ferromagnetic exchange stiffness [1][2][3][4]13,14,[21][22][23]32 . In Pd/Fe/Ir(111), however, we need to consider a ferromagnetic NN exchange that competes with antiferromagnetic interactions beyond the NNs.…”
Section: Resultscontrasting
confidence: 51%
“…Figure 3d shows that for fcc Pd stacking the exchange interaction favours the skyrmion over the ferromagnetic state (Eo0). This is in contradiction to the predictions from the micromagnetic model that assumes a ferromagnetic exchange stiffness [1][2][3][4]13,14,[21][22][23]32 . In Pd/Fe/Ir(111), however, we need to consider a ferromagnetic NN exchange that competes with antiferromagnetic interactions beyond the NNs.…”
Section: Resultscontrasting
confidence: 51%
“…We assume that the skyrmion configuration has the same form in plane as in 2D case and is independent of the third coordinate, z. Eq. (8) gives the skyrmion contribution to the classical energy δE = 4πCs 2 L, with L the system size in the third direction. The small-energy magnon spectrum is E = + C 3 q 2 z ; if we measure energy in units of 0 and q z in inverse interlayer distances then C 3 ∼ sJ ⊥ / 0 .…”
Section: Two-particle Interaction and Vertex Correctionsmentioning
confidence: 99%
“…This means that the BP skyrmion is a metastable solution, but is not unstable one because the spectrum of small fluctuations is non-negative. A number of theoretical works suggested various ways to lower the classical energy of the skyrmion state and thus make it energetically favorable [5][6][7][8][9] (see also 10 and references therein). This process of adding weaker interactions to the main Heisenberg Hamiltonian is called stabilization.…”
Section: Introductionmentioning
confidence: 99%
“…The skyrmion has been experimentally observed in various chiral magnets 21,22 as a result of the the competition between the Dzyaloshinskii-Moriya (DM) interactions, Heisenberg exchange, and Zeeman interaction [23][24][25] . It was first discovered in MnSi in a narrow window at finite temperatures 21 .…”
mentioning
confidence: 99%