Classical spin models and basic magnetic interactions on 1/1-approximant crystals,Physical Review B

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Classical spin models and basic magnetic interactions on 1/1-approximant crystals
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-09 , DOI: 10.1103/physrevb.110.104414
Daniel Qvarngård ₁ , P. Henelius _{1,

2}

Affiliation

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 anisotropy induced by the crystal-electric field. To address this question, we treat Gd ions as Heisenberg spins and Tb ions as Ising spins. Additionally, we consider the presence of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction to replicate the experimentally observed correlation between magnetic properties and electron concentration. Surprisingly, our findings show that the transition between ferromagnetic and antiferromagnetic order remains unaltered by the anisotropy, even when accounting for the dipole interaction. We conclude that a more comprehensive model, extending beyond the free-electron gas RKKY interaction, is likely required to fully understand the distinctions between Gd- and Tb-based approximants. Our work represents a systematic exploration of the impact of anisotropy on the ground-state properties of classical spin models in quasicrystal approximants.

中文翻译：

1/1 近似晶体上的经典自旋模型和基本磁相互作用

我们使用蒙特卡罗和平均场方法研究 1/1 Tsai 型近似晶格上的经典自旋模型。我们的目的是了解钆基近似值和铽基近似值之间的相图差异是否可以归因于晶体电场引起的各向异性。为了解决这个问题，我们将 Gd 离子视为海森堡自旋，将 Tb 离子视为伊辛自旋。此外，我们考虑了 Ruderman-Kittel-Kasuya-Yosida (RKKY) 相互作用的存在，以复制实验观察到的磁特性和电子浓度之间的相关性。令人惊讶的是，我们的研究结果表明，即使考虑偶极子相互作用，铁磁序和反铁磁序之间的转变仍然不会受到各向异性的改变。我们的结论是，可能需要一个超越自由电子气体 RKKY 相互作用的更全面的模型，以充分理解基于 Gd 和基于 Tb 的近似值之间的区别。我们的工作系统地探索了各向异性对准晶体近似中经典自旋模型的基态特性的影响。

更新日期：2024-09-09

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