Degenerated ground states and excited states of the S=1/2 anisotropic antiferromagnetic Heisenberg chain in the easy axis region
Degenerated ground states and excited states of the S=1/2 anisotropic antiferromagnetic Heisenberg chain in the easy axis region
复制标题
易轴区S=1/2各向异性反铁磁海森堡链的简并基态和激发态
DOI：
10.1088/0305-4470/17/15/020
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发表时间：
1984
期刊：
影响因子：
--
通讯作者：
F. Woynarovich
中科院分区：
文献类型：
--
作者：
A. Virosztek;F. Woynarovich
本文重新考虑了反铁磁XXZ模型在易轴区的Bethe平衡方程的解。通过在动量的基态分布中留下空穴并允许复杂的快速性来获得激发。给出了孔参数的方程，并证明了与早期结果相反的高阶方程具有与平面区域相同的结构。简并基态的存在被证明，它也表明，具有类似结构的激发态存在于两个基态。
The authors reconsider the solutions of the Bethe ansatz equations for the antiferromagnetic XXZ model in the easy axis region. The excitations are obtained by leaving holes in the ground state distribution of the momenta and allowing for complex rapidities. Equations for the parameters of the holes are given and it is shown that the higher level equations contrary to earlier results have the same structure as in the planar region. The existence of degenerate ground states is demonstrated, and it is also shown that distinct sets of excited states with analogous structure exist above both ground states.