Ferromagnetic sublattices of antiferromagnetic skyrmion crystals formed in two-dimensional square lattices

Liu, Zhaosen; Ian, Hou

doi:10.1016/j.spmi.2018.12.006

Cited by 9 publications

(15 citation statements)

References 37 publications

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“…To check our results, we repeat the simulations by means of the SCA method. [21][22][23][24][26][27][28][29] Astonishingly, as H = 7, the xy-projections of the AF SLs obtained at different temperatures with the two methods, when plotted together, overlap with each other exactly, except for T = T V L = 1.55, where the system starts to condense to the VL state, only at a few sites the spins align in slightly different directions. Figure S1 shows an example at a very low temperature, T = 0.05, in comparison with the results, that are shown in Figure 3 and calculated with the same set of parameters using the OQMC method.…”

Section: Comparison With Sca Methodsmentioning

confidence: 91%

“…In light of quantum theory, the spins appearing in Eq. ( 1) are quantum operators, [21][22][23][24][25][26][27][28][29] rather than classical vectors. When S = 1 as it is assumed in the present work, the matrices of the three spin components are:…”

Section: The Quantum Model and Computational Algorithmmentioning

confidence: 99%

“…However, they found no evidence of AF skymrion lattice (SL) formation in the AF chiral square lattice. The latter aspect was addressed by one of us 28 utilizing a quantum simulative method, namely the SCA approach, where a self-consistent algorithm is used in the frame of quantum theory. [21][22][23][24][25][26][27][28][29] It was found that both Bloch and Néel types AF SLs could be induced in a 2D lattice of square crystal structure by a very strong external magnetic field exerted normal to the monolayer plane.…”

Section: Introductionmentioning

confidence: 99%

“…The latter aspect was addressed by one of us 28 utilizing a quantum simulative method, namely the SCA approach, where a self-consistent algorithm is used in the frame of quantum theory. [21][22][23][24][25][26][27][28][29] It was found that both Bloch and Néel types AF SLs could be induced in a 2D lattice of square crystal structure by a very strong external magnetic field exerted normal to the monolayer plane. 28 We expect that quantum effects, missing in CMC simulations, to be important in AF materials, which motivates the current study by reinvestigating AF SLs formed in the 2D triangular lattices with a method built upon quantum theory.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of antiferromagnetic skyrmions in a triangular monolayer

Liu,

Dias,

Lounis

2020

Preprint

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The chiral spin textures of a two-dimensional (2D) triangular system, where both antiferromagnetic (AF) Heisenberg exchange and chiral Dzyaloshinsky-Moriya interactions co-exist, are investigated numerically with an optimized quantum Monte Carlo method based on mean-field theory. We find that: helical, skyrmionic and vortical AF crystals can be formed when an external magnetic field is applied perpendicular to the 2D monolayer; the sizes of these skyrmions and vortices change abruptly at several critical points of the external magnetic field; each of these AF crystals can be decomposed into three periodical ferromagnetic (FM) sublattices. The quantum ingredient implemented into the theoeretical framework helps to track the existence of AF skyrmion lattices down to low temperatures.

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Section: Comparison With Sca Methodsmentioning

confidence: 91%

Section: The Quantum Model and Computational Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of antiferromagnetic skyrmions in a triangular monolayer

Liu,

Dias,

Lounis

2020

Preprint

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“…Skyrmions and vortices have drawn enormous attention due to their fundamental and practical importance [ 3 , 4 , 5 , 6 , 7 , 8 ]. Skyrmions hold great promise as a basis for future digital technologies [ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 ]. Information flow in next-generation spintronic devices could be associated with metastable isolated skyrmions guided along magnetic stripes [ 19 , 20 ].…”

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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Topological spin textures of antiskyrmionic crystals in two-dimensional magnetic monolayers

Liu

2021

Journal of Magnetism and Magnetic Materials

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Ferromagnetic sublattices of antiferromagnetic skyrmion crystals formed in two-dimensional square lattices

Cited by 9 publications

References 37 publications

Theoretical investigation of antiferromagnetic skyrmions in a triangular monolayer

Theoretical investigation of antiferromagnetic skyrmions in a triangular monolayer

Skyrmions and Spin Waves in Magneto–Ferroelectric Superlattices

Topological spin textures of antiskyrmionic crystals in two-dimensional magnetic monolayers

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