论文标题
从重态化 - 从重态化的角度来看，在广义的反铁磁kitaev旋转中的非词的起源 - $ \ frac {1} {2} {2}
Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
论文作者
论文摘要
最近，在一维广义抗铁磁kitaev spin-1/2模型的Luttinger液相中，已经发现，局部自旋算子的Abelian Bosonization公式仅尊重确切的离散非词性非词性对称性组，而不是出现的u（1）对称。在这项工作中，我们执行了一项重新归一化组（RG）研究，以提供有关琼脂化公式中U（1）破坏术语的起源的解释。我们发现，缺乏U（1）对称性源于沿着由U（1）破坏相互作用在微观汉密尔顿式中诱导的RG流中的波函数重归其化效应。此外，RG分析可以预测玻体化公式中系数的尺寸的符号和顺序。我们的工作有助于了解一维kitaev旋转模型中丰富的非词型物理学。
Recently, in the Luttinger liquid phase of the one-dimensional generalized antiferromagnetic Kitaev spin-1/2 model, it has been found that the abelian bosonization formulas of the local spin operators only respect the exact discrete nonsymmorphic symmetry group of the model, not the emergent U(1) symmetry. In this work, we perform a renormalization group (RG) study to provide explanations for the origin of the U(1) breaking terms in the bosonization formulas. We find that the lack of U(1) symmetry originates from the wavefunction renormalization effects in the spin operators along the RG flow induced by the U(1) breaking interactions in the microscopic Hamiltonian. In addition, the RG analysis can give predictions to the signs and order of magnitudes of the coefficients in the bosonization formulas. Our work is helpful to understand the rich nonsymmorphic physics in one-dimensional Kitaev spin models.
