论文标题
经典反铁磁$ n $ vector模型的挫败感和旋转维度之间的竞争与任意$ n $
Competition between frustration and spin dimensionality in the classical antiferromagnetic $n$-vector model with arbitrary $n$
论文作者
论文摘要
提出了一种表征磁性挫败强度的新方法，它是通过计算经典最近邻居的抗铁磁$ n $ n $ vector模型的绝对基态的最小维度。三个和四个维度的柏拉金固体，而阿基赛马固体具有最低的能量构型，许多自旋尺寸等于它们的真实空间维度。富勒烯分子和大地二十面体可以在多达五个自旋尺寸中产生基态。当允许交换相互作用变化时，挫败感的特征是地面能量的最大值。
A new method to characterize the strength of magnetic frustration is proposed by calculating the minimum dimensionality of the absolute ground states of the classical nearest-neighbor antiferromagnetic $n$-vector model with arbitrary $n$. Platonic solids in three and four dimensions and Archimedean solids have lowest-energy configurations in a number of spin dimensions equal to their real-space dimensionality. Fullerene molecules and geodesic icosahedra can produce ground states in as many as five spin dimensions. Frustration is also characterized by the maximum value of the ground-state energy when the exchange interactions are allowed to vary.
