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

TL;DR

This paper theoretically explores magnetic orders in Tsai-type quasicrystalline approximants, showing how RKKY interactions lead to diverse magnetic phases and predicting a new cuboc order at high Fermi wavenumbers.

Contribution

It introduces a minimal RKKY-based model that explains experimental magnetic order variations and predicts a novel cuboc magnetic order.

Findings

Multiple magnetic orders depend on Fermi wavenumber.

The model aligns with experimental phase transition observations.

A new cuboc order is predicted at high Fermi wavenumber.

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.