论文标题
量子pyrochlore抗fiferromagnet中的硬甲状腺晶晶体的丰度
Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
论文作者
论文摘要
我们建议一个简单的价值晶体晶体家族，作为$ s = 1/2 $的潜在基态，$ s = 1 $ $ heisenberg antiferromagnet在pyrochlore lattice上。在系统的线性尺寸中，这些构成数量的数量可以将其视为硬质覆盖物，每个六角形代表一个共鸣的价值键环。这种合奏会自发地打破旋转，反转和翻译对称性。一个简单而准确的变分波函数允许精确确定能量，通过DMRG和数值链接的群集扩展确认，并通过对激发态的分析扩展。稳定性起源的识别表明适用于广泛的沮丧的晶格，我们为棋盘和红宝石晶格演示了这一适用性。我们的工作提出了对这种量子磁体的看法，在这种量子磁铁中，未覆盖的图案被其相互作用的挫败感有效地取消了。
We propose a simple family of valence-bond crystals as potential ground states of the $S=1/2$ and $S=1$ Heisenberg antiferromagnet on the pyrochlore lattice. Exponentially numerous in the linear size of the system, these can be visualized as hard-hexagon coverings, with each hexagon representing a resonating valence-bond ring. This ensemble spontaneously breaks rotation, inversion and translation symmetries. A simple, yet accurate, variational wavefunction allows a precise determination of the energy, confirmed by DMRG and numerical linked cluster expansion, and extended by an analysis of excited states. The identification of the origin of the stability indicates applicability to a broad class of frustrated lattices, which we demonstrate for the checkerboard and ruby lattices. Our work suggests a perspective on such quantum magnets, in which unfrustrated motifs are effectively uncoupled by the frustration of their interactions.
