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arXiv 1805.02418cond-mat.mes-hall
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量子自旋霍尔和量子反常霍尔区中石墨烯纳米带自旋极化边态的量子输运

Quantum transport by spin-polarized edge states in graphene nanoribbons in the quantum spin Hall and quantum anomalous Hall regimes

Nezhat Pournaghavi, Cecilia Holmqvist, Anna Pertsova, Carlo Canali

摘要:

采用非平衡Green \noindent方法和Keldysh方法,研究了自旋轨道相互作用和时间反演对称性破缺交换场对石墨烯扶手椅型纳米带非平衡量子输运的影响.我们确定签名的量子自旋霍尔(QSH)和量子反常霍尔(QAH)相在非平衡边缘传输通过计算自旋分辨的真实空间电荷密度和本地电流在纳米边缘。我们发现,QSH阶段,这是实现在一个系统中具有内在的自旋-轨道耦合,其特征在于由手性反传播的本地自旋电流加起来的净电荷流与相反的自旋极化的边缘。在QAH阶段,出现在Rashba自旋-轨道耦合和铁磁交换场的存在下,具有相反自旋的两个手性边缘通道在每个边缘处沿相同方向传播,产生未极化的电荷电流和量子化的霍尔电导$G = 2 e^2/h$。增加内在的自旋-轨道耦合导致从QAH到QSH相的转变,表现为非平衡边缘输运的特征变化。相反,反铁磁交换场可以与QSH相共存,但由于结合了时间反演和亚晶格平移对称性的对称性,永远不会诱导QAH相。

英文摘要:

Using the non-equilibrium Green\noindent 's function method and the Keldysh formalism, we study the effects of spin-orbit interactions and time-reversal symmetry breaking exchange fields on non-equilibrium quantum transport in graphene armchair nanoribbons. We identify signatures of the quantum spin Hall (QSH) and the quantum anomalous Hall (QAH) phases in non-equilibrium edge transport by calculating the spin-resolved real space charge density and local currents at the nanoribbon edges. We find that the QSH phase, which is realized in a system with intrinsic spin-orbit coupling, is characterized by chiral counter-propagating local spin currents summing up to a net charge flow with opposite spin polarization at the edges. In the QAH phase, emerging in the presence of the Rashba spin-orbit coupling and a ferromagnetic exchange field, two chiral edge channels with opposite spins propagate in the same direction at each edge, generating an unpolarized charge current and a quantized Hall conductance $G = 2 e^2/h$. Increasing the intrinsic spin-orbit coupling causes a transition from the QAH to the QSH phase, evinced by characteristic changes in the non-equilibrium edge transport. In contrast, an antiferromagnetic exchange field can coexist with a QSH phase, but can never induce a QAH phase due to a symmetry that combines time-reversal and sublattice translational symmetry.

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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