Spin Conductivity Based on Magnetic Toroidal Quadrupole Hidden in Antiferromagnets

Hayami, Satoru; Yatsushiro, Megumi

doi:10.7566/jpsj.91.063702

Cited by 27 publications

(30 citation statements)

References 88 publications

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“…Especially, the situation for ζ < 1 indicates that J Q1 and J Q2 are not necessarily to be maxima in J q for the stabilization of the S-SkX when the contributions from J Q 1 and J Q 2 are comparable to those from J Q1 and J Q2 for large A. Meanwhile, the R-SkX is stabilized for ζ > 1 in the present study, although it was shown that an additional bond-dependent anisotropy can stabilize the R-SkX even in the region for ζ < 1 [67].…”

Section: Modelcontrasting

confidence: 62%

Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy

Hayami

2022

Preprint

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We report our theoretical results on the emergence of rectangular-and square-shaped magnetic skyrmion crystals on a centrosymmetric square lattice with magnetic anisotropy. By performing the simulated annealing for a frustrated spin model with an easy-axis single-ion anisotropy on a square lattice, we find that a competition of the interactions in momentum space gives rise to the formation of two skyrmion crystals, where the skyrmion cores are aligned in a rectangle-or squarelattice way. Especially, the interactions at the higher harmonic wave vectors play an important role in stabilizing the square/rectangular skyrmion crystals. Our results provide a reference to explore further skyrmion-hosting materials in centrosymmetric tetragonal systems.

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Section: Modelcontrasting

confidence: 62%

Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy

Hayami

2022

Preprint

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“…[142]. Although the interactions at the higher-harmonic wave vectors like Q 1 + Q 2 also contribute to the energy in the multiple-Q states including the SkX [113,123], we neglect them by assuming their contribution is much smaller than that at Q ν . Furthermore, we drop off the contributions from the other q components in the interactions.…”

Section: Model and Methodsmentioning

confidence: 99%

“…In centrosymmetric magnets, the degeneracy in the SkXs is (partly) lifted in the presence of the symmetric anisotropic exchange interaction and dipolar interaction, the former of which arises from the discrete lattice symmetry [112][113][114][115][116][117]. These anisotropic interactions manifest themselves in the stabilization of the SkXs [112,115,[117][118][119][120][121][122][123][124], which might be important to reproduce the experimental phase diagrams in SkX-hosting materials, Gd 3 Ru 4 Al 12 [125,126], GdRu 2 Si 2 [127][128][129], and EuAl 4 [130][131][132][133].…”

Section: Introductionmentioning

confidence: 99%

Multifarious skyrmion phases on a trilayer triangular lattice

Hayami

2022

Preprint

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The instability toward a magnetic skyrmion crystal in centrosymmetric trilayer magnets is investigated based on a spin model with layer-dependent Dzayloshinskii-Moriya interaction. We find various types of skyrmion crystal phases with different skyrmion numbers in a low-temperature phase diagram by performing the simulated annealing. In addition to the Néel skyrmion crystal phase that is expected to emerge in the presence of the polar-type Dzayloshinskii-Moriya interaction, we obtain the skyrmion crystal phases characteristics of the layered system: the twisted surface skyrmion crystal, anti-skyrmion crystal, and high-topological-number skyrmion crystal phases. The rich magnetic phases are brought about by the synergy among the layer-dependent Dzayloshinskii-Moriya interaction, interlayer exchange interaction, and an external magnetic field. Our results indicate that the layer degree of freedom at the surface and heterostructures provides a good platform to engineer and design the topological spin textures.

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“…In fact, the stabilization of the centrosymmetric square SkX has been achieved by considering the further effect of the bond-dependent anisotropic exchange interaction or the dipolar interaction in addition to the frustrated exchange interaction in insulating magnets [88,89] and the multiple-spin interaction in magnetic metals [145,146,86,147,148], which reproduces the multiple-Q instabilities observed in GdRu 2 Si 2 [102,103,104]. Besides, the scenario based on the competing interactions in momentum space has recently been proposed, which might explain the multiple SkX phases including the square SkX in EuAl 4 [108,149,150,151].…”

Section: Introductionmentioning

confidence: 99%

Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers

Hayami¹

2022

J. Phys.: Condens. Matter

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We investigate an instability toward a square-lattice formation of the magnetic skyrmions in centrosymmetric layered systems. By focusing on a bilayer square-lattice structure with the inversion center at the interlayer bond instead of the atomic site, we numerically examine the stability of the square skyrmion crystal based on an effective spin model with the momentum-resolved interaction in the ground state through the simulated annealing. As a result, we find that a layer-dependent staggered Dzyaloshinskii-Moriya interaction built in the lattice structure becomes the origin of the square skyrmion crystal in an external magnetic field irrespective of the sign of the interlayer exchange interaction. The obtained square skyrmion crystal is constituted of the skyrmion crystals with different helicities in each layer due to the staggered Dzyaloshinskii-Moriya interaction. Furthermore, we show that the interplay between the staggered Dzyaloshinskii-Moriya interaction and the interlayer exchange interaction gives rise to a double-$Q$ state with a uniform component of the scalar chirality in the low-field region. The present results provide another way of stabilizing the square skyrmion crystal in centrosymmetric magnets, which will be useful to explore further exotic topological spin textures.

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Spin Conductivity Based on Magnetic Toroidal Quadrupole Hidden in Antiferromagnets

Cited by 27 publications

References 88 publications

Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy

Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy

Multifarious skyrmion phases on a trilayer triangular lattice

Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers

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