论文标题

Spin-1/2自旋冰球的精确对角线化

Exact diagonalization for spin-1/2 spin ice pyrochlores

论文作者

Wei, C., Curnoe, S. H.

论文摘要

我们找到了具有最近邻居交换相互作用的16个位点自旋1/2 pyrochlore晶体的哈密顿的精确溶液。群体理论(对称性)的方法用于完全阻止哈密顿量化,从而得出有关特征状态的对称性的精确细节,尤其是那些是{\ em spin Ice}状态的成分,以评估有限温度下的旋转冰密度。在足够低的温度下,在交换相互作用的一般模型的四个参数空间中清楚地概述了一个“干扰”自旋冰相。预计在这些边界之外存在量子自旋冰相。

We find exact solutions to the Hamiltonian of a 16-site spin-1/2 pyrochlore crystal with nearest neighbour exchange interactions. The methods of group theory (symmetry) are used to completely block-diagonalize the Hamiltonian, yielding precise details about symmetry of the eigenstates, in particular those components which are {\em spin ice} states, in order to evaluate the spin ice density at finite temperature. At low enough temperatures, a `perturbed' spin ice phase is clearly outlined within the four parameter space of the general model of exchange interactions. The quantum spin ice phase is expected to exist outside these boundaries.

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