Open spin chain realization of a topological defect in a one-dimensional Ising model: Boundary and bulk symmetry
Open spin chain realization of a topological defect in a one-dimensional Ising model: Boundary and bulk symmetry
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DOI：
10.1103/physrevb.104.125418
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发表时间：
2020-04
影响因子：
3.7
通讯作者：
Yoshiki Fukusumi;Shumpei Iino
中科院分区：
文献类型：
--
作者：
Yoshiki Fukusumi;Shumpei Iino
研究了一维量子Ising模型在临界开边界条件下拓扑缺陷的实现。应用[M]中讨论的结构。Hauru， G. Evenbly, w.w. Ho， D. Gaiotto，和G. Vidal，物理学家。Rev. B 94, 115125(2016)]，我们证明了具有多个拓扑缺陷的开链上的Ising模型可以转化为具有边界磁场和无相互作用边界自由度的相同模型。这导致了Cardy状态线性组合的出现[J]。L.卡迪，纽克。理论物理。B 324, 581(1989)]，这可以解释为自旋或费米子链的边缘状态。我们证明了这种具有大边界熵的边缘状态在体扰动下可以被保护，而在边界扰动下是脆弱的。我们的公式表明在拓扑缺陷的存在下存在非平凡边缘物理，并为未来的边界和体物理分析开辟了许多有趣的问题。
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 degree 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.