Magnetic dynamics of ferromagnetic long range order in icosahedral quasicrystal

Watanabe, Soichi

doi:10.1038/s41598-022-14796-5

Cited by 3 publications

(4 citation statements)

References 42 publications

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“…We employ the minimal model for the rare earth-based QC and AC introduced in Ref. 19 : where is the “spin” operator at the i th Tb site with and is the exchange interaction for the “spins” at the i th and j th Tb sites. The second term represents the magnetic anisotropy arising from the CEF, where is the unit vector along the magnetic easy axis arising from the CEF as shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…As for the ferrimagnetic order in the QC discussed in Ref. 19 , spatial inversion symmetry is not broken. The intensities of the dynamical structure factors S(q, ω) and S(−q, ω) are almost the same but there exist slight differences in the intensities at some (q, ω) points 19 [see S ⊥ (q, ω) and S ⊥ (−q, ω) in Fig.…”

Section: Summary and Discussionmentioning

confidence: 96%

“… 19 , spatial inversion symmetry is not broken. The intensities of the dynamical structure factors and are almost the same but there exist slight differences in the intensities at some points 19 [see and in Fig. S5 in Supplementary Information].…”

Section: Summary and Discussionmentioning

confidence: 99%

“…AFM interaction J 2 inside the IC. In the ferrimagnetic order in the 1/1 AC, the reciprocal dispersion of the magnetic excitation ω m ′ (q) = ω m ′ (−q) appears 19 . Since the spatial inversion symmetry is not broken by the ferrimagnetic order in the 1/1 AC, the above statement is consistent with this case.…”

Section: Summary and Discussionmentioning

confidence: 99%

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Magnetic dynamics and nonreciprocal excitation in uniform hedgehog order in icosahedral 1/1 approximant crystal

Watanabe

2023

Sci Rep

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The hedgehog state in the icosahedral quasicrystal (QC) has attracted great interest as the theoretical discovery of topological magnetic texture in aperiodic systems. The revealed magnetic dynamics exhibits nonreciprocal excitation in the vast extent of the reciprocal lattice $${\varvec{q}}$$ q -energy $$\omega$$ ω space, whose emergence mechanism remains unresolved. Here, we analyze the dynamical as well as static structure of the hedgehog order in the 1/1 approximant crystal (AC) composed of the cubic lattice with spatial inversion symmetry. We find that the dispersion of the magnetic excitation energy exhibits nonreciprocal feature along the N-P-$$\Gamma$$ Γ line in the $${\varvec{q}}$$ q space. The dynamical structure factor exhibits highly structured intensities where high intensities appear in the high-energy branches along the $$\Gamma$$ Γ -H line and the P-$$\Gamma$$ Γ -N line in the $${\varvec{q}}$$ q space. The nonreciprocity in the 1/1 AC and also in the QC is understood to be ascribed to inversion symmetry breaking by the hedgehog ordering. The sharp contrast on the emergence regime of nonreciprocal magnetic excitation between the QC and the 1/1 AC indicates that the emergence in the vast $${\varvec{q}}$$ q -$$\omega$$ ω regime in the QC is attributed to the QC lattice structure.

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Section: Resultsmentioning

confidence: 99%

Section: Summary and Discussionmentioning

confidence: 96%

Section: Summary and Discussionmentioning

confidence: 99%

Section: Summary and Discussionmentioning

confidence: 99%

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Magnetic dynamics and nonreciprocal excitation in uniform hedgehog order in icosahedral 1/1 approximant crystal

Watanabe

2023

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Magnetic dynamics of hedgehog in icosahedral quasicrystal

Watanabe

2022

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Quasicrystals (QCs) possess a unique lattice structure without translational invariance, which is characterized by the rotational symmetry forbidden in periodic crystals such as the 5-fold rotation. Recent discovery of the ferromagnetic (FM) long-range order in the terbium-based QC has brought about breakthrough but the magnetic structure and dynamics remain unresolved. Here, we reveal the dynamical as well as static structure of the FM hedgehog state in the icosahedral QC. The FM hedgehog is shown to be characterized by the triple-Q state in the reciprocal-lattice $${{\varvec{q}}}$$ q space. Dynamical structure factor is shown to exhibit highly structured $${{\varvec{q}}}$$ q and energy dependences. We find a unique magnetic excitation mode along the 5-fold direction exhibiting the streak fine structure in the $${{\varvec{q}}}$$ q -energy plane, which is characteristic of the hedgehog in the icosahedral QC. Non-reciprocal magnetic excitations are shown to arise from the FM hedgehog order, which emerge in the vast extent of the $${{\varvec{q}}}$$ q -energy plane.

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Magnetic frustration and glassiness in an icosahedral i−Tb−Cd quasicrystal

Denoel,

Joshi,

Huang

et al. 2024

Phys. Rev. B

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The dynamical magnetic properties of the icosahedral i−Tb−Cd quasicrystal (QC) were investigated by means of squid magnetometry. At low temperatures, below T∼4.5 K, we observe conventional spin glass features including aging, memory, and rejuvenation. Interestingly, from T∼4.5 to 10 K, the spin configuration is also found to evolve with time (i.e., age as in spin glass), yet without memory. This suggests a reentrantlike behavior for the i−Tb−Cd QC, where upon cooling from high temperatures, the system first displays a magnetically frustrated phase before turning into a spin glasslike one at the lowest temperatures. We discuss the nature and possible origin of this magnetic behavior, in the light of the results obtained in the i−Gd−Cd QC, and ternary Tb-based quasicrystal approximants. Published by the American Physical Society 2024

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Magnetic dynamics of ferromagnetic long range order in icosahedral quasicrystal

Cited by 3 publications

References 42 publications

Magnetic dynamics and nonreciprocal excitation in uniform hedgehog order in icosahedral 1/1 approximant crystal

Magnetic dynamics and nonreciprocal excitation in uniform hedgehog order in icosahedral 1/1 approximant crystal

Magnetic dynamics of hedgehog in icosahedral quasicrystal

Magnetic frustration and glassiness in an icosahedral i−Tb−Cd quasicrystal

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