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

Abstract

Recent experimental study on Tsai-type quasicrystalline approximant Au-Al-Gd has revealed the presence of magnetic orders and phase transitions with changing the Au/Al concentration. Motivated by the experiment, we theoretically investigate whether a successive change of magnetic orders occurs in a minimal magnetic model including the RKKY interaction only. We find that the model induces multifarious magnetic orders depending on the Fermi wavenumber and gives a good starting point for understanding the experimental observation. In addition, we predict the presence of an undiscovered novel magnetic order called cuboc order at large Fermi wavenumber region.

6 pages, 4 figures

References in corpus (13)

• Quantum critical state in a magnetic quasicrystal
• Quantum Valence Criticality as Origin of Unconventional Critical Phenomena
• Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice
• Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• Superconductivity of Au-Ge-Yb Approximants with Tsai-Type Clusters
• Kagome-Triangular Lattice Antiferromagnet NaBa2Mn3F11
• New Universality Class of Quantum Criticality in Ce- and Yb-based Heavy Fermions
• Magnetism in Rare Earth Quasicrystals: RKKY Interactions and Ordering
• Magnetic phase diagram of the coupled triangular spin tubes for CsCrF4
• Crystal Structure of Superconducting 1/1 Cubic Au-Ge-Yb Approximant with Tsai-Type Cluster
• Spin-wave analysis for Kagome-triangular spin system and coupled spin tubes: low-energy excitation for the cuboc order
• New Quantum Criticality Revealed under Pressure

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