Skyrmion crystals: Dynamics and phase transition

Diep, H. T.; Hog, Sahbi El; Bailly-reyre, A.

doi:10.1063/1.5006269

Cited by 5 publications

(5 citation statements)

References 20 publications

(25 reference statements)

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“…A necessary condition for the existence of skyrmions in bulk samples was the absence of an inverse transformation in the crystal magnetic symmetry group. Diep et al 12 have studied a crystal of skyrmions generated on a square lattice using a ferromagnetic exchange interaction and a Dzyaloshinskii-Moriya interaction between nearest-neighbors under an external magnetic field. They have shown that the skyrmion crystal has a hexagonal structure which is shown to be stable up to a temperature T c where a transition to the paramagnetic phase occurs and the dynamics of the skyrmions at T < T c follows a stretched exponential law.…”

Section: Introductionmentioning

confidence: 99%

“…11 it was shown that the most extensive class of candidates for the detection of skyrmions includes the surfaces and interfaces of magnetic materials, where the geometry of the material breaks the central symmetry and, therefore, can lead to the appearance of chiral interactions similar to the Dzyaloshinskii-Moriya interaction. In addition, skyrmions are two-dimensional solitons, the stability of which is provided by the local competition of short-range interactions exchange and Dzyaloshinskii-Moriya interactions 12,13 . The idea of using skyrmions in memory devices nowadays is reduced to the information encoding using the presence or absence of a skyrmion in certain area of the Surface spin configuration is calculated by minimizing the spin interaction energy.…”

Section: Introductionmentioning

confidence: 99%

“…Skyrmions as the most compact isolated micromagnetic objects are of great practical interest as memory elements 13 . The stability of skyrmions 12 can make the memory on their basis non-volatile, and low control currents will reduce the cost of rewriting compared to similar technologies based on domain boundaries.…”

Section: Introductionmentioning

confidence: 99%

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Dzyaloshinskii-Moriya interaction in magnetoferroelectric superlattices: Spin waves and skyrmions

2019

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We study in this paper effects of Dzyaloshinskii-Moriya (DM) magnetoelectric coupling between ferroelectric and magnetic layers in a superlattice formed by alternate magnetic and ferroelectric films. Magnetic films are films of simple cubic lattice with Heisenberg spins interacting with each other via an exchange J and a DM interaction with the ferroelectric interface. Electrical polarizations of ±1 are assigned at simple cubic lattice sites in the ferroelectric films. We determine the ground-state (GS) spin configuration in the magnetic film. In zero field, the GS is periodically non collinear and in an applied field H perpendicular to the layers, it shows the existence of skyrmions at the interface. Using the Green's function method we study the spin waves (SW) excited in a monolayer and also in a bilayer sandwiched between ferroelectric films, in zero field. We show that the DM interaction strongly affects the long-wave length SW mode. We calculate also the magnetization at low temperature T . We use next Monte Carlo simulations to calculate various physical quantities at finite temperatures such as the critical temperature, the layer magnetization and the layer polarization, as functions of the magnetoelectric DM coupling and the applied magnetic field. Phase transition to the disordered phase is studied in detail.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dzyaloshinskii-Moriya interaction in magnetoferroelectric superlattices: Spin waves and skyrmions

2019

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“…To conclude this section, let us emphasize that beyond the two models for interface coupling studied above, the Dzyaloshinskii-Moriya interface interaction of the form J mf P k · ( S i × S j ) may induce unexpected phenomena at the magneto-ferroelectric interface 28,29 . Work is under way to investigate this coupling model.…”

Section: Another Model Of Interface Interactionmentioning

confidence: 99%

Magneto-ferroelectric interaction in superlattices: Monte Carlo study of phase transitions

Sharafullin

Kharrasov

Diep

2019

Journal of Magnetism and Magnetic Materials

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line: magnetization of interface magnetic layers, green line: magnetization of interior magnetic layers, blue line: polarization of interface ferroelectric layers, purple line: polarization of interface ferroelectric layers ; (c) Susceptibilities versus T , with the same color code. J m = 1, J mf 1 = −0.15, J mf 2 = −0.135 corresponding to the GS with energy E 1 . B. Particular Case J mf 1 = J mf 2In this section we present the results of the MC simulations in the particular case where J mf 1 = J mf 2 . We will compare these results with results from the MF theory.Results for the temperature dependence of layer magnetizations, polarizations, and susceptibilities of the system are shown in Fig. 6 for J m = J f = 1, J mf = J mf 1 = J mf 2 = −0.15, −0.55. For J mf , these curves present a sharp second-order transitions at T m c 1.32 for magnetic layers and T f c 1.84 for ferroelectric layers.The results with an external magnetic field H z = 0.7 are shown in Fig. 7 for the order

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“…The phenomenological Landau-Ginzburg model introduced by I. Dzyaloshinskii [25] was microscopically derived by T. Moriya [26]. The DM interaction has been shown to generate skyrmions in thin films [27][28][29] and in magneto-ferroelectric superlattices [30][31][32].…”

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confidence: 99%

Vortex structure in magnetic nanodots: Dipolar interaction, mobile spin model, phase transition and melting

Bailly-reyre

Diep

2021

Journal of Magnetism and Magnetic Materials

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We study in this article properties of a nanodot embedded in a support by Monte Carlo simulation. The nanodot is a piece of simple cubic lattice where each site is occupied by a mobile Heisenberg spin which can move from one lattice site to another under the effect of the temperature and its interaction with neighbors. We take into account a short-range exchange interaction between spins and a long-range dipolar interaction. We show that the ground-state configuration is a vortex around the dot central axis: the spins on the dot boundary lie in the xy plane but go out of plane with a net perpendicular magnetization at the dot center. Possible applications are discussed. Finitetemperature properties are studied. We show the characteristics of the surface melting and determine the energy, the diffusion coefficient and the layer magnetizations as functions of temperature.

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Skyrmion crystals: Dynamics and phase transition

Cited by 5 publications

References 20 publications

Dzyaloshinskii-Moriya interaction in magnetoferroelectric superlattices: Spin waves and skyrmions

Dzyaloshinskii-Moriya interaction in magnetoferroelectric superlattices: Spin waves and skyrmions

Magneto-ferroelectric interaction in superlattices: Monte Carlo study of phase transitions

Vortex structure in magnetic nanodots: Dipolar interaction, mobile spin model, phase transition and melting

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