The $$ {D}_3^{(2)} $$ spin chain and its finite-size spectrum
The $$ {D}_3^{(2)} $$ spin chain and its finite-size spectrum
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$$ {D}_3^{(2)} $$自旋链及其有限尺寸谱
DOI：
10.1007/jhep11(2023)095
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发表时间：
2023
影响因子：
5.4
通讯作者：
Frahm H
中科院分区：
文献类型：
--
作者：
Frahm H
利用解析的Bethe近似，我们研究了准自旋链的标度极限。在详细的对称性分析的支持下，我们确定了参数区域γ∈（0，）中一大类态的有效标度维数.除了两个紧凑的自由度之外，我们还在有限尺寸谱中识别了两个独立的连续分量。大扭转角对后者的影响也揭示了离散状态的存在。这允许一个猜想的中心电荷的共形场理论描述的晶格模型的标度极限。
Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodicspin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regime γ∈(0,). Besides two compact degrees of freedom, we identify two independent continuous components in the finite-size spectrum. The influence of large twist angles on the latter reveals also the presence of discrete states. This allows for a conjecture on the central charge of the conformal field theory describing the scaling limit of the lattice model.