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首页> 外文期刊>Physical Review X >Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator
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Magnetic End States in a Strongly Interacting One-Dimensional Topological Kondo Insulator

机译：相互作用强的一维拓扑近藤绝缘子中的磁态

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Topological Kondo insulators are strongly correlated materials where itinerant electrons hybridize with localized spins, giving rise to a topologically nontrivial band structure. Here, we use nonperturbative bosonization and renormalization-group techniques to study theoretically a one-dimensional topological Kondo insulator, described as a Kondo-Heisenberg model, where the Heisenberg spin- 1 / 2 chain is coupled to a Hubbard chain through a Kondo exchange interaction in the p -wave channel (i.e., a strongly correlated version of the prototypical Tamm-Schockley model). We derive and solve renormalization-group equations at two-loop order in the Kondo parameter, and find that, at half filling, the charge degrees of freedom in the Hubbard chain acquire a Mott gap, even in the case of a noninteracting conduction band (Hubbard parameter U = 0 ). Furthermore, at low enough temperatures, the system maps onto a spin- 1 / 2 ladder with local ferromagnetic interactions along the rungs, effectively locking the spin degrees of freedom into a spin-1 chain with frozen charge degrees of freedom. This structure behaves as a spin-1 Haldane chain, a prototypical interacting topological spin model, and features two magnetic spin- 1 / 2 end states for chains with open boundary conditions. Our analysis allows us to derive an insightful connection between topological Kondo insulators in one spatial dimension and the well-known physics of the Haldane chain, showing that the ground state of the former is qualitatively different from the predictions of the naive mean-field theory.
机译：拓扑近藤绝缘子是高度相关的材料，其中流动电子与局部自旋杂交，从而产生拓扑上不平凡的能带结构。在这里，我们使用非扰动玻色化和重归一化组技术从理论上研究一维拓扑Kondo绝缘子，称为Kondo-Heisenberg模型，其中Heisenberg自旋1/2链通过Kondo交换相互作用耦合到Hubbard链在p波通道中（即，典型的Tamm-Schockley模型的强相关版本）。我们在Kondo参数中以两环顺序推导并求解了重归一化组方程，发现在半填充时，即使在非相互作用导带的情况下，哈伯德链中的电荷自由度也会获得莫特间隙（ Hubbard参数U = 0）。此外，在足够低的温度下，系统会映射到带有横行的局部铁磁相互作用的自旋1/2梯子，从而有效地将自旋自由度锁定为具有冻结电荷自由度的自旋1链。该结构表现为自旋1的Haldane链（一种典型的相互作用拓扑自旋模型），并具有两个具有开放边界条件的链的自旋1/2磁性终态。我们的分析使我们能够得出一个空间维度上的近藤拓扑绝缘子与Haldane链的知名物理学之间的深刻联系，表明前者的基态与天真的均场理论的预测在质量上有所不同。

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