Magnetic orders induced by RKKY interaction in Tsai-type quasicrystalline approximant Au-Al-Gd

Miyazaki, Haruka; Sugimoto, Takanori; Morita, Katsuhiro; Tohyama, Takami

doi:10.1103/physrevmaterials.4.024417

Cited by 25 publications

(20 citation statements)

References 67 publications

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“…Arrows indicate the distances in Table 1. These calculated values of k f closely match with the values predicted to give antiferromagnetic order in the 1/1 Au AlGd approximant, 35) which considers k f simply in terms of the Au concentration. In this case, the corresponding concentration values for Au would be: 9385%, i.e.…”

Section: D Atomistic Modelsupporting

confidence: 79%

“…This type of magnetic structure is similar to the spin structure calculated for the antiferromagnetic 1/1 AuAlGd approximant, which considers the RKKY interaction. 35) Experimentally, the 1/1 AuAlTb approximant icosahedra show a more complex spin structure here, individual icosahedra display a net magnetic moment of zero, manifested by a 'whirling' order along the [111] direction. 9,11) In each case, adjacent icosahedra have opposing spin directions similar to our calculations.…”

Section: D Atomistic Modelmentioning

confidence: 94%

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High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems

Coates

Tamura

2021

Mater. Trans.

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Monte Carlo approaches to aperiodic spin systems have found a range of antiferromagnetic ground states for both classical and quantum spins. In each case, the spin calculations have been undertaken on quasilattices in the appropriate dimension i.e. 1D for a Fibonacci chain, 2D for a Penrose tiling etc. Here we show that high dimension spin models can be calculated using the simplest of spin Hamiltonians, and that the projection of these high dimensional spins reproduces antiferromagnetic ground states in the 'correct' dimension. We also show a model for an atomistic antiferromagnetic quasicrystal, as derived using this method.

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Section: D Atomistic Modelsupporting

confidence: 79%

Section: D Atomistic Modelmentioning

confidence: 94%

High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems

Coates

Tamura

2021

Mater. Trans.

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“…7) However, magnetic order has not been discovered in real quasiperiodic lattices yet and is still an on-going fundamental issue in solid state physics. Meanwhile, magnetic orders have been found in a number of Tsai-type APs since the first discovery of an AF transition in the Cd 6 Tb AP in 2010 8) and the condition for the realization of magnetic orders in QCs has now been getting unraveled during the last decade by both experimental and theoretical 9,10) approaches. The aim of the present paper is to review and discuss the current status of the magnetism research in R-containing Tsai-type APs in order to stimulate the search for unprecedented magnetic QCs.…”

Section: Introductionmentioning

confidence: 99%

Magnetism of Tsai-Type Quasicrystal Approximants

et al. 2021

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Magnetism of Tsai-type 1/1 approximants has been extensively investigated for the last decade. The experimental results on Tsai-type approximants are reviewed and the magnetic behaviors are classified and discussed in terms of the average electron-per-atom (e/a) ratio. The paramagnetic Curie-Weiss temperature # p is found to oscillate in a universal manner as a function of the e/a ratio, and the magnetic order systematically changes with the variation in # p . In addition, recent work shows that the 2/1 approximants also follow the trend observed for the 1/1 approximants, which implies that the magnetic phase diagram of the 1/1 approximants can be applicable to higher-order approximants including quasicrystals that are yet to be discovered.

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“…These experimental developments urgently require theoretical investigation of the magnetism in the rare-earth based QC and AC. Theoretical studies to date have been performed as the model calculations mostly by the spin model and also by the Hubbard model in a small cluster or low-dimensional systems 14 – 29 , where the effect of the crystalline electric field (CEF) crucial for the rare-earth system was not taken into account microscopically.…”

mentioning

confidence: 99%

Magnetism and topology in Tb-based icosahedral quasicrystal

Watanabe

2021

Sci Rep

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Quasicrystal (QC) possesses a unique lattice structure with rotational symmetry forbidden in conventional crystals. The electric property is far from complete understanding and it has been a long-standing issue whether the magnetic long-range order is realized in the QC. The main difficulty was lack of microscopic theory to analyze the effect of the crystalline electric field (CEF) at the rare-earth atom in QCs. Here we show the full microscopic analysis of the CEF in Tb-based QCs. We find that magnetic anisotropy arising from the CEF plays a key role in realizing unique magnetic textures on the icosahedron whose vertices Tb atoms are located at. Our analysis of the minimal model based on the magnetic anisotropy suggests that the long-range order of the hedgehog characterized by the topological charge of one is stabilized in the Tb-based QC. We also find that the whirling-moment state is characterized by unusually large topological charge of three. The magnetic textures as well as the topological states are shown to be switched by controlling compositions of the non-rare-earth elements in the ternary compounds. Our model is useful to understand the magnetism as well as the topological property in the rare-earth-based QCs and approximant crystals.

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Magnetic orders induced by RKKY interaction in Tsai-type quasicrystalline approximant Au-Al-Gd

Cited by 25 publications

References 67 publications

High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems

High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems

Magnetism of Tsai-Type Quasicrystal Approximants

Magnetism and topology in Tb-based icosahedral quasicrystal

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