二十面体团簇的经典和量子磁基态
Classical and Quantum Magnetic Ground States on an Icosahedral Cluster
摘要：
最近在蔡型准晶近似物中发现了多种磁性，其中位于二十面体顶点的稀土离子通过Ruderman-Kittel-Kasuya-Yosida相互作用相互耦合，为发现起源于二十面体对称性的新磁性开辟了一条途径。在这里，我们调查的经典和量子磁状态的二十面体集团内的海森堡相互作用的所有债券。采用模拟退火和数值对角化方法得到了经典和量子基态。我们得到了经典和量子相图的定性对应。我们的研究提供了一个很好的起点，以了解各种磁性不仅在准晶近似，但也准晶。
英文摘要：
Recent discovery of various magnetism in Tsai-type quasicrystalline approximants, in whose alloys rare-earth ions located on icosahedral apices are coupled with each other via the Ruderman--Kittel--Kasuya--Yosida interaction, opens an avenue to find novel magnetism originating from the icosahedral symmetry. Here we investigate classical and quantum magnetic states on an icosahedral cluster within the Heisenberg interactions of all bonds. Simulated annealing and numerical diagonalization are performed to obtain the classical and quantum ground states. We obtain qualitative correspondence of classical and quantum phase diagrams. Our study gives a good starting point to understand the various magnetism in not only quasicrystalline approximants but also quasicrystals.
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