Magnetic dynamics of hedgehog in icosahedral quasicrystal

Watanabe, Shinji

doi:10.1038/s41598-022-19870-6

Cited by 4 publications

(9 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These are understandable from the symmetry of the hedgehog shown in Fig. 1 A. Namely, the alignment of the magnetic moments on the IC is invariant under the permutation of the x , y , and z axes so that the same results of are obtained by replacing with and also with 18 .…”

Section: Resultsmentioning

confidence: 82%

“…As for the uniform hedgehog order in the QC, the nonreciprocal excitation was reported in Ref. 18 . Since the infinite limit of the unit cell size of a series of ACs (1/1, 2/1, 3/2, ACs) corresponds to the QC, the infinite folding of the energy dispersion of magnon is expected to occur in the QC.…”

Section: Resultsmentioning

confidence: 92%

“…This is considered to be reflected in the fine structures of the intensities in the dynamical structure factor for the wide - plane in the icosahedral QC as if they are continuum shown in Ref. 18 where the recursive structure, i.e., the self-similar structure, appears in the intensities. These results suggest that the hedgehog ordering which breaks the spatial inversion symmetry is the origin of the nonreciprocity in the QC 18 .…”

Section: Resultsmentioning

confidence: 95%

“…In the QC, the dynamical structure factor was calculated in Ref. 18 where the high intensity appears around the point in the high energy region. The high intensities of around the point, i.e., along the -H line as well as the P- -N line shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Recently, the magnetic dynamics of the uniform hedgehog order in the QC has for the first time been studied theoretically 18 . It has been revealed that the nonreciprocal excitation appears in the vast extent of the reciprocal lattice -energy space.…”

mentioning

confidence: 99%

See 4 more Smart Citations

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

Watanabe

2023

Sci Rep

Self Cite

View full text Add to dashboard Cite

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.

show abstract