Competition among exchange interactions is able to induce novel spin correlations on a bipartite lattice without geometrical frustration. A prototype example is the spiral spin liquid, which is a correlated paramagnetic state characterized by subdimensional degenerate propagation vectors. Here, using spectral graph theory, we show that spiral spin liquids on a bipartite lattice can be approximated by a further-neighbor model on the corresponding line-graph lattice that is nonbipartite, thus broadening the space of candidate materials that may support the spiral spin liquid phases. As illustrations, we examine neutron scattering experiments performed on two spinel compounds, ${\mathrm{ZnCr}}_2{\mathrm{Se}}_4$ and ${\mathrm{CuInCr}}_4{\mathrm{Se}}_8$, to demonstrate the feasibility of this new approach and expose its possible limitations in experimental realizations.

中文翻译：

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螺旋旋转液体的线图法

交换相互作用之间的竞争能够在二分格上引发新的自旋相关性，而不会出现几何挫折。一个原型示例是螺旋自旋液体，它是一种以次维退化传播矢量为特征的相关顺磁态。在这里，我们使用谱图理论表明，二分晶格上的螺旋自旋液体可以通过相应的非二分线图晶格上的更近邻模型来近似，从而拓宽了可能支持螺旋自旋的候选材料的空间液相。作为说明，我们检查了对两种尖晶石化合物进行的中子散射实验，${\mathrm{锌铬}}_{\mathrm{2个}}{硒}_{\mathrm{4个}}$和${\mathrm{铜铬铬}}_{\mathrm{4个}}{硒}_{\mathrm{8个}}$, 以证明这种新方法的可行性，并揭示其在实验实现中可能存在的局限性。