可解调制量子链中的弦和常规序参量
String and conventional order parameters in the solvable modulated quantum chain
摘要：
分析了精确可解量子一维模型的相图和序参量。该模型在其自旋表示是二聚XY自旋链在均匀和交错的横向场的存在下。在费米子表象中，这个模型是具有调制化学势的二聚非相互作用Kitaev链。该模型有一个丰富的相图，其中包含本地和非本地（字符串）订单的阶段。我们已经计算出在同一系统框架内的本地序参量（自发磁化）和非本地字符串序参量，以及拓扑绕组数为所有域的相图。拓扑非平凡的阶段被证明有一个特殊的振荡弦波数$q=π/2$，等待其实验证实。
英文摘要：
The phase diagram and the order parameters of the exactly solvable quantum 1D model are analysed. The model in its spin representation is the dimerized XY spin chain in the presence of uniform and staggered transverse fields. In the fermionic representation this model is the dimerized non-interacting Kitaev chain with a modulated chemical potential. The model has a rich phase diagram which contains phases with local and non-local (string) orders. We have calculated within the same systematic framework the local order parameters (spontaneous magnetization) and the non-local string order parameters, along with the topological winding numbers for all domains of the phase diagram. The topologically nontrivial phase is shown to have a peculiar oscillating string order with the wavenumber $q=π/2$, awaiting for its experimental confirmation.
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