Antiferromagnetic order is possible in ternary quasicrystal approximants

Ishikawa, Asuka; Fujii, Toshitsugu; Takeuchi, Tetsuya; Yamada, Taro; Matsushita, Yoshitaka; Tamura, Ryuji

doi:10.1103/physrevb.98.220403

Cited by 49 publications

(72 citation statements)

References 50 publications

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“…On the other hand, for i Au65Ga20Tb15, the M magnitude is suppressed to ~6B/Tb 3+ at 7 T, about two-thirds of the full moment of a Tb 3+ ion (9B/Tb 3+ ). This behaviour is closely consistent with those of Tb-containing ACs [25][26][27] , which was attributed to the existence of the strong uniaxial anisotropy of the Tb 3+ spins. The M suppression is ascribed to the formation of non-coplanar spin configuration due to this strong uniaxial anisotropy of Tb 3+ spins in Au-Si-Tb 1/1 AC 28 .…”

Section: Observation Of Ferromagnetic Transitions In Real Quasicrystalssupporting

confidence: 85%

“…According to the theory underlying the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction 30 , which is the major magnetic interaction between R 3+ spins for R-containing QCs, the RKKY interaction magnitude scales with the de-Gennes factor (dG) [( − 1) 2 ( + 1)], where denotes the Landé g-factor and the total angular momentum. Figure 5 shows the normalised Weiss temperature, /dG, as a function of the e/a ratio over a wide e/a range from 1.5 to 2.2 for all the R-containing Tsai-type i QCs reported to date 17,20,31 , together with the /dG values for the Au-Al-Gd 1/1 ACs (orange circles) for comparison 26 . The figure also shows the magnetic-ground-state regime of the Au-Al-Gd 1/1 AC in terms of the e/a ratio, wherein we note that the magnetic order changes from antiferromagnetic to ferromagnetic and then to spin glass (SG) with increasing e/a ratio.…”

Section: Discussionmentioning

confidence: 99%

“…The observations of antiferromagnetic transitions and the subsequent finding of ferromagnetic transitions in Au-Si-R (R = Gd, Tb, Dy, Ho) 1/1 ACs 24,25 have motivated us to search for magnetically ordered i QCs that are likely to exist in the vicinity of the magnetic ACs. Here, to the best of our knowledge, we report on the first long-range magnetic order in QCs, obtained by finely tuning the average electron-per-atom ratio (e/a = 1.70) near which the strongest ferromagnetism (highest TC) was recently observed for Au-Al-Gd 1/1 AC 26 .…”

Section: Mainmentioning

confidence: 94%

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Long-range magnetic order in real icosahedral quasicrystals

Tamura

Ishikawa

Suzuki

et al. 2021

Preprint

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Quasicrystals (QCs), first discovered in 1984, generally do not exhibit long-range magnetic order. Here, we report on long-range magnetic order in the real icosahedral quasicrystals (i QCs) Au–Ga–Gd and Au–Ga–Tb. The Au65Ga20Gd15 i QC exhibits a ferromagnetic transition at TC = 23 K, manifested as a sharp anomaly in both magnetic-susceptibility and specific-heat measurements. Quick magnetic saturation to almost the full moment (7μB/Gd3+) is observed under 100 Oe at 2 K. This is the first observation of long-range magnetic order in a real quasicrystal, in contrast to the spin-glass-like behaviours observed for the other magnetic quasicrystals found to date. Moreover, when Gd is replaced by Tb, i.e. for the Au65Ga20Tb15 i QC, a ferromagnetic behaviour is still retained with TC = 16 K. Although the sharp anomaly in the specific heat observed for the Au65Ga20Gd15 i QC is significantly broadened upon Tb substitution, neutron-diffraction experiments clearly show the marked development of magnetic Bragg peaks below TC, indicating long-range magnetic order for the Au65Ga20Tb15 i QC also. Our findings can contribute to the further investigation of exotic magnetic orders formed on real quasiperiodic lattices with unprecedented highest global symmetry, i.e. icosahedral symmetry.

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Section: Observation Of Ferromagnetic Transitions In Real Quasicrystalssupporting

confidence: 85%

Section: Discussionmentioning

confidence: 99%

Section: Mainmentioning

confidence: 94%

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Long-range magnetic order in real icosahedral quasicrystals

Tamura

Ishikawa

Suzuki

et al. 2021

Preprint

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“…Up to now, the magnetically ordered states have not been observed in the quasicrystals, but have recently been realized in the approximants Cd 6 Tb [14], Au-Al-Gd [15] and Au-Al-Tb [16]. This accelerates the experimental and theoretical investigations on the magnetic properties in the quasiperiodic lattices.…”

Section: Introductionmentioning

confidence: 93%

Antiferromagnetically Ordered State in the Half-Filled Hubbard Model on the Socolar Dodecagonal Tiling

Koga

2021

Mater. Trans.

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We investigate the antiferromagnetically ordered state in the half-filled Hubbard model on the Socolar dodecagonal tiling. When the interaction is introduced, the staggered magnetizations suddenly appear, which results from the existence of the macroscopically degenerate states in the tightbinding model. The increase of the interaction strength monotonically increases the magnetizations although its magnitude depends on the local environments. Magnetization profile is discussed in the perpendicular space. The similarity and difference are also addressed in magnetic properties in the Hubbard model on the Penrose, Ammann-Beenker, and Socolar dodecagonal tilings.

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“…To this end, the DOS enhancements stemming from hybridization of the Yb f-states and Au/Al sp-states in both i-QCs, and related approximants belonging to the Au-Al-Yb alloy system, may play a significant role. These representatives that, along with the binary i-Cd-RE (RE = Gd to Tm, Y) QCs, have recently received growing attention due to their interesting magnetic properties [115][116][117] could; thus, bring in some promising news to the thermoelectric materials research community in the years to come.…”

Section: Discussionmentioning

confidence: 99%

Chemical Bonding and Physical Properties in Quasicrystals and Their Related Approximant Phases: Known Facts and Current Perspectives

Barber

2019

Applied Sciences

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Quasicrystals are a class of ordered solids made of typical metallic atoms but they do not exhibit the physical properties that usually signal the presence of metallic bonding, and their electrical and thermal transport properties resemble a more semiconductor-like than metallic character. In this paper I first review a number of experimental results and numerical simulations suggesting that the origin of the unusual properties of these compounds can be traced back to two main features. For one thing, we have the formation of covalent bonds among certain atoms grouped into clusters at a local scale. Thus, the nature of chemical bonding among certain constituent atoms should play a significant role in the onset of non-metallic physical properties of quasicrystals bearing transition-metal elements. On the other hand, the self-similar symmetry of the underlying structure gives rise to the presence of an extended chemical bonding network due to a hierarchical nesting of clusters. This novel structural design leads to the existence of quite diverse wave functions, whose transmission characteristics range from extended to almost localized ones. Finally, the potential of quasicrystals as thermoelectric materials is discussed on the basis of their specific transport properties.

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Antiferromagnetic order is possible in ternary quasicrystal approximants

Cited by 49 publications

References 50 publications

Long-range magnetic order in real icosahedral quasicrystals

Long-range magnetic order in real icosahedral quasicrystals

Antiferromagnetically Ordered State in the Half-Filled Hubbard Model on the Socolar Dodecagonal Tiling

Chemical Bonding and Physical Properties in Quasicrystals and Their Related Approximant Phases: Known Facts and Current Perspectives

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