We study the XXZ Heisenberg model in a staggered magnetic field using the higher-order tensor renormalization group (HOTRG) method. Built into the tensor representation of the XXZ model is the U(1) symmetry, which is systematically maintained at each renormalization step. We determine the phase diagram of the model from the low-lying spectrum, and from the finite-size dependence of the spectrum we extract scaling dimensions, which are compared to predictions of low-energy field theory.

中文翻译：

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张量网络数据的Luttinger液体性质

我们使用高阶张量重整化组（HOTRG）方法研究了交错磁场中的XXZ Heisenberg模型。U（1）对称性内置在XXZ模型的张量表示中，在每个重新规范化步骤中都会系统地保持对称性。我们从低层频谱确定模型的相图，并从频谱的有限大小依存关系中提取缩放维，将其与低能场理论的预测进行比较。