拓扑量子系统的奇异phase diagram
Exotic phase diagram of a topological quantum system
摘要:
研究了三角蜂窝晶格上Kitaev自旋模型的量子相变。除了Abel相和非Abel相之间的普通拓扑QPT外,我们还发现了新的QPT,它们可以发生在属于同一拓扑类的两个相之间,即具有相同Chern数的两个非Abel相或具有相同Chern数的两个Abel相之间.这种准光子晶体是由非定域自旋-自旋关联函数在临界点处的奇异行为引起的。
英文摘要:
We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases belonging to the same topological class, namely, either two non-Abelian phases with the same Chern number or two Abelian phases with the same Chern number. Such QPTs result from the singular behaviors of the nonlocal spin-spin correlation functions at the critical points.
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