Marić Vanja, Franchini Fabio, Kuić Domagoj, Giampaolo Salvatore Marco
Division of Theoretical Physics, Rudjer Bošković Institute, Bijenička cesta 54, 10000, Zagreb, Croatia.
SISSA and INFN, via Bonomea 265, 34136, Trieste, Italy.
Sci Rep. 2021 Mar 22;11(1):6508. doi: 10.1038/s41598-021-86009-4.
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.
最近有研究强调，具有受挫边界条件（即在具有奇数个元素的环中的周期性边界条件）的一维反铁磁自旋模型可能会表现出非常奇特的行为。事实上，当考虑不同的边界条件时，受挫边界条件的存在会破坏模型中呈现的局部磁序，并引发新的相变。受这些结果的启发，我们分析了引入受挫边界条件对几个支持（对称性保护）拓扑序的模型的影响，并将我们的结果与不同边界条件下获得的结果进行比较。所分析的拓扑序相均未因这种变化而改变。这一观察结果自然地引出了一个猜想，即一维系统的拓扑相通常不受拓扑受挫的影响。
