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arXiv 0909.2465cond-mat.mes-hallcond-mat.quant-gas
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Kagome晶格中的量子自旋霍尔效应和自旋电荷分离

Quantum spin Hall effect and spin-charge separation in a kagome lattice

Zhigang Wang, Ping Zhang

摘要:

在一个简单的紧束缚模型下,对二维kagome晶格进行了理论研究,该模型包含了最近邻跃迁项和次近邻之间的自旋轨道相互作用.利用复能Riemann面上自旋边态的拓扑缠绕性质,得到了绝缘相自旋霍尔电导的量子化形式为$-e/2π$($e/2π$).这一结果与数值线性响应计算和\textbf{Z} $_{2}$拓扑不变性分析结果一致。当样品边界以扭曲的方式连接时,引入两个具有$π$通量的缺陷,在1/3(或2/3)填充时得到自旋-电荷分离的孤子。

英文摘要:

A two-dimensional kagome lattice is theoretically investigated within a simple tight-binding model, which includes the nearest neighbor hopping term and the intrinsic spin-orbit interaction between the next nearest neighbors. By using the topological winding properties of the spin-edge states on the complex-energy Riemann surface, the spin Hall conductance is obtained to be quantized as $-e/2π$ ($e/2π$) in insulating phases. This result keeps consistent with the numerical linear-response calculation and the \textbf{Z}$_{2}$ topological invariance analysis. When the sample boundaries are connected in twist, by which two defects with $π$ flux are introduced, we obtain the spin-charge separated solitons at 1/3 (or 2/3) filling.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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