各向同性自旋1链的最高权态描述
Highest weight state description of the isotropic spin-1 chain
摘要：
我们引入了一个过完备的最高权态基作为计算工具，用来描述具有双线性交换耦合J1和双二次耦合J2的各向同性自旋1链。基态可以精确地表示在相图中的三个特殊点上，在这三个特殊点上，哈密顿量对应于最近邻全自旋投影算符之和（J1=0>J2，J1=-J2<0，J1=-J2/3<0）。特别地，在相变点J1=-J2<0处，通过使用新的总自旋基，可以精确地计算基态、激发态、期望值和关联函数。
英文摘要：
We introduce an overcomplete highest weight state basis as a calculational tool for the description of the isotropic spin-1 chain with bilinear exchange coupling J1 and biquadratic coupling J2. The ground state can be expressed exactly at the three special points in the phase diagram where the Hamiltonian corresponds to a sum of nearest neighbor total spin projection operators (J1=0>J2, J1=-J2<0, and J1=-J2/3<0). In particular, at the phase transition point J1=-J2<0 it is possible to exactly compute the ground states, excited states, expectation values, and correlation functions by using the new total spin basis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
