论文标题
精确的手性无定形自旋液体
An Exact Chiral Amorphous Spin Liquid
论文作者
论文摘要
非相互作用颗粒的拓扑绝缘体阶段已从周期性晶体推广到非晶格的晶格，这提出了一个问题，问题是否同样存在于无定形系统中？在这里，我们通过将Kitaev Honeycomb模型扩展到具有第三个固定配位的随机晶格来构建可溶性手性无定形量子自旋液体。该模型保留其确切的溶解度，但是具有奇数侧面的斑块的存在导致时间逆转对称性的自发破坏。我们发掘了显示Abelian以及具有非常简单的基态通量模式的非亚伯量子自旋液相的丰富相图。此外，我们表明该系统经历了有限的温度相变为导电金属状态，并讨论了可能的实验实现。
Topological insulator phases of non-interacting particles have been generalized from periodic crystals to amorphous lattices, which raises the question whether topologically ordered quantum many-body phases may similarly exist in amorphous systems? Here we construct a soluble chiral amorphous quantum spin liquid by extending the Kitaev honeycomb model to random lattices with fixed coordination number three. The model retains its exact solubility but the presence of plaquettes with an odd number of sides leads to a spontaneous breaking of time reversal symmetry. We unearth a rich phase diagram displaying Abelian as well as a non-Abelian quantum spin liquid phases with a remarkably simple ground state flux pattern. Furthermore, we show that the system undergoes a finite-temperature phase transition to a conducting thermal metal state and discuss possible experimental realisations.
