Topological Knots in Quantum Spin Systems

作     者：X.M.Yang L.Jin Z.Song 杨学敏;金亮;宋智

作者机构：School of PhysicsNankai UniversityTianjin 300071China 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2021年第38卷第6期

页      面：7-12页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China(Grants Nos.11874225 11975128 and 11605094) 

主　　题：topological quantum system 

摘      要：Knot theory provides a powerful tool for understanding topological matters in biology,chemistry,and *** knot theory is introduced to describe topological phases in a quantum spin *** solvable models with long-range interactions are investigated,and Majorana modes of the quantum spin system are mapped into different knots and *** topological properties of ground states of the spin system are visualized and characterized using crossing and linking numbers,which capture the geometric topologies of knots and *** interactivity of energy bands is *** gapped phases,eigenstate curves are tangled and braided around each other,forming *** gapless phases,the tangled eigenstate curves may form *** findings provide an alternative understanding of phases in the quantum spin system,and provide insights into one-dimension topological phases of matter.