论文标题
1D模型和边界和块状对称性上拓扑缺陷的开放链链实现
Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
论文作者
论文摘要
我们研究了具有关键的开放边界条件的1D量子碱模型中拓扑缺陷的实现。应用[M. Hauru，G。Feelbly，W。W. Ho，D。Gaiotto和G. Vidal，物理。 Rev. B 94，115125（2016）]，我们证明，具有多个拓扑缺陷的开放链上的Ising模型可以通过边界磁场和非互操作的自由边界度转换为相同的模型。这导致了Cardy状态线性组合的出现[J. L. cardy，nucl。物理。 B 324，581（1989）]，可以解释为自旋或费米链的边缘状态。我们表明，具有较大边界熵的边缘状态可以在散装扰动下受到保护，而对边界扰动则易碎。我们的表述表明，在拓扑缺陷的存在下存在非平凡边缘物理，并为与边界和散装物理学有关的未来分析打开了许多有趣的问题。
We study the realizations of topological defects in 1d quantum Ising model with open boundary condition at criticality. Applying the construction discussed in [M. Hauru, G. Evenbly, W. W. Ho, D. Gaiotto, and G. Vidal, Phys. Rev. B 94, 115125 (2016)], we prove that the Ising model on an open chain with multiple topological defects can be transformed to the same model with boundary magnetic fields and noninteracting boundary degrees of freedom. This results in the appearance of linear combination of Cardy states [J. L. Cardy, Nucl. Phys. B 324, 581 (1989)], which can be interpreted as an edge state of the spin or fermion chain. We show that this edge state with the large boundary entropy can be protected under bulk perturbation whereas it is fragile to a boundary perturbation. Our formulation suggests an existence of nontrivial edge physics under the existence of topological defects and opens many interesting questions for future analysis related to boundary and bulk physics.
