论文标题
拓扑阶段对挫败感的弹性
Resilience of the topological phases to frustration
论文作者
论文摘要
最近，有人强调的是，具有沮丧的边界条件的一维抗铁磁旋转模型，即具有奇数元素的环的周期性边界条件，可能显示出非常奇特的行为。实际上，当考虑到不同的边界条件并诱导新的相变时，沮丧的边界条件的存在会破坏模型所呈现的局部磁序。在这些结果的推动下，我们分析了引入沮丧的边界条件对支持（对称受保护的）拓扑阶的几种模型的效果，并将我们的结果与在不同边界条件下获得的结果进行了比较。分析的拓扑顺序阶段都没有因这种变化而改变。该观察结果自然而然地表明，一维系统的拓扑阶段通常不受拓扑挫败感的影响。
Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of frustrated boundary conditions can destroy the local magnetic orders presented by the models when different boundary conditions are taken into account and induce novel phase transitions. Motivated by these results, we analyze the effects of the introduction of frustrated boundary conditions on several models supporting (symmetry protected) topological orders, and compare our results with the ones obtained with different boundary conditions. None of the topological order phases analyzed are altered by this change. This observation leads naturally to the conjecture that topological phases of one-dimensional systems are in general not affected by topological frustration.
