Phenomenological Magnetic Model in Tsai-Type Approximants

Abstract

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 symmetry ($m\bar{3}$) of the approximately-regular icosahedra plays a key role in the peculiar magnetic structure determined by a neutron diffraction experiment. Our magnetic model does not only explain magnetic behaviors in the quasicrystal approximants, but also provides a good starting point for the possibility of coexistence between magnetic long-range order and aperiodicity in quasicrystals.

5 pages, 3figures

References in corpus (1)

• Superconductivity of Au-Ge-Yb Approximants with Tsai-Type Clusters

Cited by in corpus (13)

• Noncoplanar ferrimagnetism and local crystalline-electric-field anisotropy in the quasicrystal approximant Au${}_{70}$Si${}_{17}$Tb${}_{13}$
• Magnetic orders induced by RKKY interaction in Tsai-type quasicrystalline approximant Au-Al-Gd
• Topological magnetic textures and long-range orders in Tb-based quasicrystal and approximant
• Magnetism and topology in Tb-based icosahedral quasicrystal
• Classical and Quantum Magnetic Ground States on an Icosahedral Cluster
• Crystalline Electronic Field in Rare-Earth Based Quasicrystal and Approximant: Analysis of Quantum Critical Au-Al-Yb Quasicrystal and Approximant
• Revisit of magnetic orders in 1/1 approximant crystals of Tsai-type quasicrystal from theoretical points of view
• Identification of Two Distinct Antiferromagnetic Phases in the Au-Al-Gd Quasicrystal Approximant
• Non-Collinear and Non-Coplanar Magnetic Orders in 1/1 Periodic Approximant to the Icosahedral Quasicrystal
• Entropic selection of magnetization in a frustrated 2D magnetic model
• Elastic Softening in Quantum Critical Yb-Al-Au Approximant Crystal and Quasicrystal
• Magnetism and topological property in icosahedral quasicrystal
• Ground states of a family of frustrated spin models for quasicrystals and their approximants