Experimental Observation of Long-Range Magnetic Order in Icosahedral Quasicrystals

Tamura, Ryuji; Ishikawa, Asuka; Suzuki, Shintaro; Kotajima, Takahiro; Tanaka, Yujiro; Seki, Takahiko; Shibata, Naoya; Yamada, Taro; Fujii, Toshitsugu; Wang, Chin-Wei; Avdeev, Maxim; Nawa, K.; Okuyama, Daisuke; Sato, Taku

doi:10.1021/jacs.1c09954

Cited by 70 publications

(31 citation statements)

References 35 publications

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“…Au Ga that exhibits a long-range magnetic order 19 . The powder neutron diffraction experiments revealed the whirling antiferromagnetic arrangement of the magnetic moments in Au 65 Ga 21 Tb 14 , which is similar to that observed in Au 72 Al 14 Tb 14 12 .…”

Section: Tbmentioning

confidence: 99%

Structural and magnetic properties of the quasicrystal approximant Au$_{65}$Ga$_{21}$Tb$_{14}$

Nawa¹,

Avdeev²,

Ishikawa³

et al. 2022

Preprint

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Magnetic properties of the quasicrystal approximant Au65Ga21Tb14 were investigated by the magnetization and the neutron diffraction experiments. The temperature dependences of the magnetic susceptibility and the magnetization curve indicate dominant ferromagnetic interactions, while the whirling antiferromagnetic order was found from the neutron diffraction experiments. In the antiferromagnetic phase, the magnetic moments are aligned almost perpendicular to a pseudo five-fold symmetry axis, which should correspond to the easy-axis direction of a Tb atom. The magnetic properties similar to those of Au72Al14Tb14 in spite of the difference in the electron-per-atom ratio suggest the robustness of the easy-axis anisotropy against the chemical substitution of the nonmagnetic atoms.

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Section: Tbmentioning

confidence: 99%

Structural and magnetic properties of the quasicrystal approximant Au$_{65}$Ga$_{21}$Tb$_{14}$

Nawa¹,

Avdeev²,

Ishikawa³

et al. 2022

Preprint

Self Cite

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“…We also find non-reciprocal magnetic excitation in the QC as well as the non-reciprocal magnon in the 1/1 AC. These findings provide insight into the understanding of the recently discovered FM long-range order in the QC Au Ga Tb 13 .…”

mentioning

confidence: 64%

“…Recently, ferromagnetic (FM) long-range order has been discovered experimentally in the QC Au–Ga–R (R = Tb, Gd) 13 . The temperature dependence of the magnetic susceptibility shows the positive Curie-Weiss temperature, which indicates the FM interaction working between the magnetic moments of the 4f electrons.…”

mentioning

confidence: 99%

Magnetic dynamics of ferromagnetic long range order in icosahedral quasicrystal

Watanabe

2022

Sci Rep

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Quasicrystals lack translational symmetry and have unique lattice structures with rotational symmetry forbidden in periodic crystals. The electric state and physical property are far from complete understanding, which are the frontiers of modern matter physics. Recent discovery of the ferromagnetic long-range order in the rare-earth based icosahedral quasicrystal has made the breakthrough. Here, we first reveal the dynamical as well as static magnetic structure in the ferromagnetic long-range order in the terbium-based quasicrystal. The dynamical structure factor exhibits highly structured energy and wavenumber dependences beyond the crystalline-electric-field excitation. We find the presence of the magnetic excitation mode analog to magnon with unique hierarchical structure as well as the localized magnetic excitation with high degeneracy in the quasicrystal. Non-collinear and non-coplanar magnetic structure on the icosahedron is discovered to give rise to non-reciprocal magnetic excitation in the quasicrystal as well as non-reciprocal magnon in the periodic cubic 1/1 approximant. These findings afford illuminating insight into the magnetic dynamics in the broad range of the rare-earth-based quasicrystals and approximants.

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“…Particular attention has been paid to magnetic properties in quasicrystals, with the majority of compounds showing spin glass-like states [1,[5][6][7][8][9][10][11][12][13][14]. However, long-range ordered states have been reported in approximant systems [15], and, recently, even in quasicrystals [16]. These novel observations rightfully stimulate further theoretical investigations on electron correlations inherent in quasicrystalline matter [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling

Koga,

Coates

2022

Preprint

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We study magnetic properties of the half-filled Hubbard model on the two-dimensional hexagonal goldenmean tiling. We find that the vertex model of the tiling is bipartite, with a sublattice imbalance of √ 5/(6τ 3 ) (where τ is the golden mean), and that the non-interacting tight-binding model gives macroscopically degenerate states at E = 0. We clarify that each sublattice has specific types of confined states, which in turn leads to an interesting spatial pattern in the local magnetizations in the weak coupling regime. Furthermore, this allows us to analytically obtain the lower bound on the fraction of the confined states as (τ + 9)/(6τ 6 ) ∼ 0.0986, which is conjectured to be the exact fraction. These results imply that a ferrimagnetically ordered state is realized even in the weak coupling limit. The introduction of the Coulomb interaction lifts the macroscopic degeneracy at the Fermi level, and induces finite staggered magnetization as well as uniform magnetization. Likewise, the spatial distribution of the magnetizations continuously changes with increasing interaction strength. The crossover behavior in the magnetically ordered states is also addressed in terms of the perpendicular space analysis.

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Experimental Observation of Long-Range Magnetic Order in Icosahedral Quasicrystals

Cited by 70 publications

References 35 publications

Structural and magnetic properties of the quasicrystal approximant Au$_{65}$Ga$_{21}$Tb$_{14}$

Structural and magnetic properties of the quasicrystal approximant Au$_{65}$Ga$_{21}$Tb$_{14}$

Magnetic dynamics of ferromagnetic long range order in icosahedral quasicrystal

Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling

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