Formation and growth of skyrmion crystal phase in a frustrated Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction

Mohylna, M.; Buša, J.; Žukovič, M.

doi:10.1016/j.jmmm.2021.167755

Cited by 19 publications

(21 citation statements)

References 39 publications

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“…It has been shown that the model without the single-ion anisotropy features four ordered phases: the helical (HL) phase, the coplanar up-up-down (UUD), the canted V-like (VL), and the skyrmion lattice (SkX) phases [26,30]. As the DMI increases the SkX phase appears at very low temperatures and intermediate fields, wedged between the HL and VL phases, and its area grows and extends to higher temperatures.…”

Section: Phase Diagramsmentioning

confidence: 99%

“…For the isotropic case the magnetization has been shown to display a monotonically increasing dependence with a jump at the phase transition between the HL and SkX phases at h ≈ 2.4 and less conspicuous anomaly at the SkX-VL phase transition above h ≈ 6, before leveling off at h ≈ 9 corresponding to the onset of the fully polarized paramagnetic (P) phase [26,30]. The easy-plane anisotropy overall tends to smoothen the magnetization curves and suppress the discontinuous behaviour.…”

Section: Thermodynamic Quantitiesmentioning

confidence: 99%

“…The topology of the phase diagram of the isotropic (A = 0) case has been already discussed in several works [26,30,36] and also briefly introduced in the first paragraph of this section. The phase diagrams for the isotropic case with D = 0.5 and D = 1 are included in Figs.…”

Section: Phase Diagram Evolutionmentioning

confidence: 99%

“…In our recent study we have considered the frustrated AFM triangular Heisenberg lattice with the DMI in an external magnetic field and studied the formation and evolution of the AFM skyrmion crystal in a wide parameter space [30]. By a parallel tempering approach and a finite-size scaling analysis we found out that already very small DMI intensity can lead to the appearance of the skyrmion phase within some field window at sufficiently low temperatures.…”

Section: Introductionmentioning

confidence: 99%

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Stability of skyrmion crystal phase in antiferromagnetic triangular lattice with DMI and single-ion anisotropy

Mohylna,

Žukovič

2021

Preprint

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We study a frustrated antiferromagnetic Heisenberg model on a triangular lattice with the Dzyaloshinskii-Moriya interaction (DMI) in the presence of an external magnetic field and a single-ion anisotropy. Phase diagrams in the temperature-field plane for both easy-axis and easy-plane anisotropy of a varying strength are constructed in the regimes of a moderate and strong DMI by parallel tempering Monte Carlo simulations. For the considered range of parameters the phase diagrams featuring up to four ordered phases are identified. A skyrmion lattice (SkX) phase is found to be stabilized within some temperature and field window for sufficiently large DMI and not too strong anisotropy. For the systems with moderate (larger) DMI, a small easy-plane (easy-axis) anisotropy is concluded to be beneficial by extending (shifting) the field window of the SkX appearance to lower values. The Metropolis dynamics is employed to probe the persistence of SkX upon quenching the field to zero or small finite values. The most favorable conditions for the skyrmions persistence are confirmed at low temperatures, small DMI and small easy-plane anisotropy values.

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Section: Phase Diagramsmentioning

confidence: 99%

Section: Thermodynamic Quantitiesmentioning

confidence: 99%

Section: Phase Diagram Evolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stability of skyrmion crystal phase in antiferromagnetic triangular lattice with DMI and single-ion anisotropy

Mohylna,

Žukovič

2021

Preprint

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“…Closely related to this work, a key ingredient in some cases has been an underlying geometrically frustrated lattice. Antiferromagnetic skyrmion crystals formed by interpenetrated skyrmion sublattices have been found to be stable under a magnetic field for different models in the antiferromagnetic triangular lattice, combining Dzyalosinskii-Moriya interactions and even additional competing terms [18][19][20][21][22][23][24] . Other competing interactions in the frustrated triangular lattice have been shown to produce exotic states such as spontaneous skyrmion lattices and higher order skyrmions [25][26][27] .…”

Section: Introductionmentioning

confidence: 99%

Chiral multiple-q and skyrmion phases induced by Rashba-Hund interactions in the kagome lattice

Villalba¹,

Albarracín²,

Cabra³

et al. 2022

Preprint

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Engineering non trivial topological phases in materials, specially skyrmion-like arrangements, has been of great interest in the last decade due to its potential technological applications. In this work, we study a model of electrons coupled to a magnetic texture in the kagome lattice interacting with magnetic moments via Rashba spin orbit coupling in the large Hund interaction limit. We obtain the effective spin Hamiltonian and study the emergent low temperature phases under an external magnetic field using large scale Monte Carlo simulations. We show that strong geometric frustration, characteristic of the kagome lattice, and the competition between the effective exchange, antisymmetric and anisotropic couplings, gives rise to a large variety of non-trivial topological phases. On the one hand, for antiferromagnetic exchange coupling a pseudo-antiferromagnetic skyrmion crystal is stabilized for a broad range of parameters. As the exchange coupling gets smaller, chiral single-q and double-q phases emerge. On the other hand, in the ferromagnetic case, even though the competition of the different interactions produce a series of exotic textures, a remarkable parallel may be drawn with the pure ferromagnetic model with antisymmetric interactions. Finally, for the special case where the exchange coupling is completely suppressed, we show that, coming from a higher temperature cooperative paramagnet, an "umbrella-like" plaquette order with semiextensive degeneracy is induced by the external magnetic field.

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Stability of skyrmion crystal phase in antiferromagnetic triangular lattice with DMI and single-ion anisotropy

Mohylna

Žukovič

2022

Journal of Magnetism and Magnetic Materials

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Formation and growth of skyrmion crystal phase in a frustrated Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction

Cited by 19 publications

References 39 publications

Stability of skyrmion crystal phase in antiferromagnetic triangular lattice with DMI and single-ion anisotropy

Stability of skyrmion crystal phase in antiferromagnetic triangular lattice with DMI and single-ion anisotropy

Chiral multiple-q and skyrmion phases induced by Rashba-Hund interactions in the kagome lattice

Stability of skyrmion crystal phase in antiferromagnetic triangular lattice with DMI and single-ion anisotropy

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