论文标题
与子系统对称性的经典自旋模型中的混合对称性破裂
Hybrid Symmetry Breaking in Classical Spin Models With Subsystem Symmetries
论文作者
论文摘要
我们研究了两种相变的具体病例，破坏了子系统对称性。这些型号是两个具有线叉和平面翼对称性的古典指南针模型，对应于三立方晶格上的海森伯格 - 基塔维·汉密尔顿的特殊限制。我们表明，这些模型经历了混合对称性破坏，系统通过该模型在不同的子手机中显示出不同的对称性破裂图案。例如，从一个维度较高的一个维度观察时，系统可能会在链或平面内看起来像磁性一样。我们通过一组细节阶参数完全表征对称性阶段，并在数值上确认两种情况都经历了非标准的一阶相变。我们的结果为涉及子系统对称性的相变提供了新的见解，并概括了常规自发对称性破坏的概念。
We investigate two concrete cases of phase transitions breaking a subsystem symmetry. The models are two classical compass models featuring line-flip and plane-flip symmetries and correspond to special limits of a Heisenberg-Kitaev Hamiltonian on a cubic lattice. We show that these models experience a hybrid symmetry breaking by which the system display distinct symmetry broken patterns in different submanifolds. For instance, the system may look magnetic within a chain or plane but nematic-like when observing from one dimensionality higher. We fully characterize the symmetry-broken phases by a set of subdimensional order parameters and confirm numerically both cases undergo a non-standard first-order phase transition. Our results provide new insights into phase transitions involving subsystem symmetries and generalize the notion of conventional spontaneous symmetry breaking.
