论文标题
Ising磁性和手性自旋液体之间的连续过渡
Continuous transition between Ising magnetic order and a chiral spin liquid
论文作者
论文摘要
在沮丧的磁性中，分数化的自旋液状态与磁性有序相之间的竞争是重要的范式。旋转轨道耦合的Mott绝缘子与Ising样磁各向异性（例如Kitaev材料）是一个特别丰富的游乐场，可探索这项竞争。在这项工作中，我们使用有效的现场理论方法表明，直接量子相变可能发生在二维（2D）ISING旋转系统中，拓扑有序的手性旋转液体和具有磁性长距离顺序的相位。这样的过渡可以通过晶格对称性保护，并通过耦合到具有Chern-simons术语的非亚伯$ SO（N）$ GAUGE字段的无质量主要领域的理论来描述。我们进一步表明，在紧急非亚伯利亚仪表范围内，欧几里得少将零模式绑定到$ \ mathbb {z} _2 $ nonopole-instantons，是了解有序阶段中自发对称性破裂的关键。
The competition between fractionalized spin-liquid states and magnetically ordered phases is an important paradigm in frustrated magnetism. Spin-orbit coupled Mott insulators with Ising-like magnetic anisotropies, such as Kitaev materials, are a particularly rich playground to explore this competition. In this work, we use effective field theory methods to show that a direct quantum phase transition can occur in two-dimensional (2D) Ising spin systems between a topologically ordered chiral spin liquid and a phase with magnetic long-range order. Such a transition can be protected by lattice symmetries and is described by a theory of massless Majorana fields coupled to non-Abelian $SO(N)$ gauge fields with a Chern-Simons term. We further show that Euclidean Majorana zero modes bound to $\mathbb{Z}_2$ monopole-instantons in the emergent non-Abelian gauge field are key to understanding spontaneous symmetry breaking in the ordered phase.
