Magnetic orders induced by RKKY interaction in Tsai-type quasicrystalline approximant Au-Al-Gd
Haruka Miyazaki, Takanori Sugimoto, Katsuhiro Morita, Takami Tohyama
Abstract
Recent experimental study on the Tsai-type quasicrystalline approximant Au-Al-Gd, which is a crystal but has the same local structure as quasicrystals, 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 Ruderman-Kittel-Kasuya-Yosida (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 magnetic order called cuboc order at the large Fermi wavenumber region.