Skyrmion Crystals and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model

Sharafullin, Ildus F.; Diep, H. T.

doi:10.3390/sym12010026

Cited by 11 publications

(4 citation statements)

References 80 publications

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“…1(a)] in in-plane magnetic system is a topological counterpart of skyrmion [see Fig. 1(b)] in outof-plane magnetic system, both of which carry integer topological charge Q and can be stabilized in FM monolayers and ultra-thin films with exchange frustration [48,[64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83]. Note that the skyrmion with Q = 1 has one out-of-plane core, while the bimeron with Q = 1 has two opposite out-of-plane cores.…”

Section: A Static Properties Of Frustrated Bimeronsmentioning

confidence: 99%

“…However, the dynamics of magnetic bimerons driven by different external forces as well as the static properties of different forms of bimerons still remain elusive, especially for the bimerons in frustrated magnetic systems. Some most recent studies have focused on the existence and manipulation of skyrmions in frustrated magnetic systems [48,[64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83]. Therefore, it is also imperative to study bimerons in frustrated magnetic systems, of which the physical properties are essential for designing future bimeron-based device applications.…”

Section: Introductionmentioning

confidence: 99%

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Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer

et al. 2020

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Magnetic bimeron is a topological counterpart of skyrmions in in-plane magnets, which can be used as spintronic information carrier. We report the static properties of bimerons with different topological structures in a frustrated ferromagnetic monolayer, where the bimeron structure is characterized by the vorticity Qv and helicity η. It is found that the bimeron energy increases with Qv, and the energy of an isolated bimeron with Qv = ±1 depends on η. We also report the dynamics of frustrated bimerons driven by the spin-orbit torques, which depend on the strength of the damping-like and field-like torques. We find that the isolated bimeron with Qv = ±1 can be driven into linear or elliptical motion when the spin polarization is perpendicular to the easy axis. We numerically reveal the damping dependence of the bimeron Hall angle driven by the damping-like torque. Besides, the isolated bimeron with Qv = ±1 can be driven into rotation by the damping-like torque when the spin polarization is parallel to the easy axis. The rotation frequency is proportional to the driving current density. In addition, we numerically demonstrate the possibility of creating a bimeron state with a higher or lower topological charge by the current-driven collision and merging of bimeron states with different Qv. Our results could be useful for understanding the bimeron physics in frustrated magnets.

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Section: A Static Properties Of Frustrated Bimeronsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer

et al. 2020

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“…In Ref. [ 43 ] the effect of the frustration in a superlattice composed of alternating frustrated magnetic and ferroelectric films was investigated. We showed in particular that the frustration gives rise to an enhancement of skyrmions created by the DM interaction at the magneto–electric interface in an external field.…”

Section: Introductionmentioning

confidence: 99%

Skyrmions and Spin Waves in Magneto–Ferroelectric Superlattices

Sharafullin

Diep

2020

Entropy

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We present in this paper the effects of Dzyaloshinskii–Moriya (DM) magneto–electric coupling between ferroelectric and magnetic interface atomic layers in a superlattice formed by alternate magnetic and ferroelectric films. We consider two cases: magnetic and ferroelectric films have the simple cubic lattice and the triangular lattice. In the two cases, magnetic films have Heisenberg spins interacting with each other via an exchange J and a DM interaction with the ferroelectric interface. The electrical polarizations of ±1 are assumed for the ferroelectric films. We determine the ground-state (GS) spin configuration in the magnetic film and study the phase transition in each case. In the simple cubic lattice case, in zero field, the GS is periodically non collinear (helical structure) 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 temperatures. 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 magneto–electric DM coupling and the applied magnetic field. Phase transition to the disordered phase is studied. In the case of the triangular lattice, we show the formation of skyrmions even in zero field and a skyrmion crystal in an applied field when the interface coupling between the ferroelectric film and the ferromagnetic film is rather strong. The skyrmion crystal is stable in a large region of the external magnetic field. The phase transition is studied.

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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].…”

mentioning

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 and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model

Cited by 11 publications

References 80 publications

Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer

Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer

Skyrmions and Spin Waves in Magneto–Ferroelectric Superlattices

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

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