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The various magnetic orders observed in approximant crystals of Tsai-type quasicrystal are important for deepening our understanding of mysterious magnetism in quasicrystals. Using an icosahedral cluster model with inter-cluster…

材料科学 · 物理学 2025-03-26 Takanori Sugimoto , Shintaro Suzuki , Ryuji Tamura , Takami Tohyama

Motivated by recent discovery of canted ferromagnetism in Tsai-type approximants Au-Si-RE (RE = Tb, Dy, Ho), we propose a phenomenological magnetic model reproducing their magnetic structure and thermodynamic quantities. In the model, cubic…

强关联电子 · 物理学 2016-05-04 Takanori Sugimoto , Takami Tohyama , Takanobu Hiroto , Ryuji Tamura

We study magnetism in simple models for rare earth quasicrystals by means of a two-step theoretical approach. First, we compute RKKY interactions from a tight-binding Hamiltonian defined on a two-dimensional quasiperiodic tiling. Second, we…

强关联电子 · 物理学 2015-05-19 Stefanie Thiem , J. T. Chalker

Magnetic ordering in quasicrystals has recently emerged as a fertile ground for discovering unconventional magnetic states beyond the framework of periodic crystals. However, elucidating the microscopic origin of such states remains…

Ground-state properties of rare-earth based 1/1 periodic approximants of icosahedral quasicrystal are clarified theoretically on the basis of an effective model for magnetism taking into account uniaxial anisotropy arising from crystalline…

强关联电子 · 物理学 2026-03-12 Shinji Watanabe , Tatsuya Iwasaki

We take a two-step theoretical approach to study magnetism of rare earth quasicrystals by considering Ising spins on quasiperiodic tilings, coupled via RKKY interactions. First, we compute RKKY interactions from a tight-binding Hamiltonian…

强关联电子 · 物理学 2016-01-07 Stefanie Thiem , J. T. Chalker

A magnetic phase diagram of the non-Heisenberg Tsai-type 1/1 Au-Ga-Tb approximant crystal (AC) has been established across a wide electron-per-atom (e/a) range via magnetization and powder neutron diffraction measurements. The diagram…

In this review we discuss the latest results concerning development of the machine learning algorithms for characterization of the magnetic skyrmions that are topologically-protected magnetic textures originated from the…

强关联电子 · 物理学 2023-04-06 Vladimir V. Mazurenko , Ilia A. Iakovlev , Oleg M. Sotnikov , Mikhail I. Katsnelson

We study the quantum dynamics of polygonal rare-earth molecular clusters with Ising-type ion magnetization. It is shown that the ground state of such systems is a non-magnetic quasi-doublet of states with oppositely twisted ion spins. The…

介观与纳米尺度物理 · 物理学 2014-11-04 D. I. Plokhov , A. I. Popov , A. K. Zvezdin

The antiferromagnetic Heisenberg model on the icosahedron, which consists of 20 edge-sharing triangles and belongs to the icosahedral $I_h$ symmetry group, presents unconventional properties at the classical and quantum level. These…

强关联电子 · 物理学 2015-06-23 N. P. Konstantinidis

Many new families of quasicrystal-forming magnetic alloys have been synthesized and studied in recent years. For small changes of composition, the alloys can go from quasiperiodic to periodic (approximant crystals) while conserving most of…

强关联电子 · 物理学 2026-03-31 Anuradha Jagannathan

We study classical spin models on the 1/1 Tsai-type approximant lattice using Monte Carlo and mean-field methods. Our aim is to understand whether the phase diagram differences between Gd- and Tb-based approximants can be attributed to…

强关联电子 · 物理学 2023-11-15 Daniel Qvarngård , Patrik Henelius

The icosahedron has a ground state magnetization discontinuity in an external magnetic field when classical spins mounted on its vertices are coupled according to the antiferromagnetic Heisenberg model. This is so even if there is no…

强关联电子 · 物理学 2016-11-28 N. P. Konstantinidis

Quasicrystal (QC) has no periodicity but has a unique rotational symmetry forbidden in periodic crystals. Lack of microscopic theory of the crystalline electric field (CEF) in the QC and approximant crystal (AC) has prevented us from…

强关联电子 · 物理学 2023-07-25 Shinji Watanabe

The probability density distributions for the ground states of certain model systems in quantum mechanics and for their classical counterparts are considered. It is shown, that classical distributions are remarkably improved by…

量子物理 · 物理学 2025-01-23 Tomasz Radozycki

We re-examine the semiclassical approximation to quantum gravity in the canonical formulation, focusing on the definition of a quasiclassical state for the gravitational field. It is shown that a state with classical correlations must be a…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Gilad Lifschytz , Samir D. Mathur , Miguel E. Ortiz

The search for new elementary particles is one of the most basic pursuits in physics, spanning from subatomic physics to quantum materials. Magnons are the ubiquitous elementary quasiparticle to describe the excitations of fully-ordered…

Magnetic orders of non-Heisenberg Tsai-type 1/1 approximant crystals (ACs) in the Au-Ga-Dy system were studied through bulk magnetization, neutron diffraction, and inelastic neutron scattering techniques. The results uncovered noncoplanar,…

The synthesis of molecular magnets has undergone rapid progress in recent years. Each of the identical molecular units can contain as few as two and up to several dozens of paramagnetic ions (spins). Although these materials appear as…

强关联电子 · 物理学 2009-11-11 J. Schnack

We study detailed classical-quantum correspondence for a cluster system of three spins with single-axis anisotropic exchange coupling. With autoregressive spectral estimation, we find oscillating terms in the quantum density of states…

凝聚态物理 · 物理学 2007-05-23 P. A. Houle , N. G. Zhang , C. L. Henley
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