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arXiv 1807.01799cond-mat.mes-hall
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含磁性杂质的螺旋边态中能隙的形成

Gap formation in helical edge states with magnetic impurities

Simon Wozny, Karel Vyborny, Wolfgang Belzig, Sigurdur I. Erlingsson

摘要:

螺旋边缘态出现在二维拓扑绝缘体的表面,其特征在于自旋向上沿一个方向传播,自旋向下沿相反方向传播。这样的状态受到时间反演对称性的保护,并且不会发生由于标量杂质引起的背散射。然而,磁性杂质打破时间反演对称性,导致背散射。它们的存在通常是无意的,但在某些情况下,它们被引入样品中以打开光谱中的间隙。我们调查的影响随机杂质的螺旋边缘状态,特别是如何在现实的情况下,具有磁性和标量成分的杂质的间隙行为。事实证明,对于一个固定的磁贡献的间隙关闭时,无论是标量分量,或费米速度增加。我们比较图表技术的自洽玻恩近似数值计算,产生良好的协议。对于实验相关的参数,我们发现,即使是温和的标量组件可以是相当有害的间隙形成。

英文摘要:

Helical edge states appear at the surface of two dimensional topological insulators and are characterized by spin up traveling in one direction and the spin down traveling in the opposite direction. Such states are protected by time reversal symmetry and no backscattering due to scalar impurities can occur. However, magnetic impurities break time reversal symmetry and lead to backscattering. Often their presence is unintentional, but in some cases they are introduced into the sample to open up gaps in the spectrum. We investigate the influence of random impurities on helical edge states, specifically how the gap behaves in the realistic case of impurities having both a magnetic and a scalar component. It turns out that for a fixed magnetic contribution the gap closes when either the scalar component, or Fermi velocity is increased. We compare diagrammatic techniques in the self-consistent Born approximation to numerical calculations which yields good agreement. For experimentally relevant parameters we find that even moderate scalar components can be quite detrimental for the gap formation.

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