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首页> 外文期刊>Physical review >Backscattering in a helical liquid induced by Rashba spin-orbit coupling and electron interactions:Locality, symmetry, and cutoff aspects
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Backscattering in a helical liquid induced by Rashba spin-orbit coupling and electron interactions:Locality, symmetry, and cutoff aspects

机译：Rashba自旋轨道耦合和电子相互作用在螺旋液体中引起的反向散射：局部性，对称性和截止方面

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The combination of the time-reversal-symmetric single-particle backscattering field (commonly known as Rashba spin-orbit coupling) and nonbackscattering electron interactions is generally expected to produce inelastic backscattering in one-dimensional helical electron liquids at the edge of two-dimensional topological insulators, as theoretically predicted in a number of works. An opposite conclusion of absent backscattering was reached in a recent work [H.-Y. Xie et al, Phys. Rev. Lett. 116,086603 (2016)] for the "local" model of the backscattering field and interactions. Motivated to resolve this potential controversy, in the present work, we study backscattering effects employing fermionic perturbation theory and considering quite general forms of the backscattering field and electron interactions. We discover that backscattering effects are crucially sensitive to the locality properties of the backscattering field and electron interactions, to the symmetry of the latter, as well as to the presence or absence of the cutoff of the electron spectrum. We find that backscattering is indeed absent under the following assumptions: (i) local backscattering field; (ii.a) local or (ii.b) SU(2)-symmetric interactions; (iii) absent cutoff of the edge-state spectrum. However, violation of any of these conditions leads to backscattering. This also reconciles with the results based on the bosonization technique. We calculate the associated backscattering current, establish its low-bias scaling behavior, and predict a crossover between two different scaling regimes. The main implication of our findings is that backscattering of some magnitude is inevitable in a real system, although it could be quite suppressed for nearly local backscattering field and interactions.
机译：通常预期时间反向对称单粒子反向散射场（通常称为Rashba自旋轨道耦合）和非反向散射电子相互作用的结合会在二维拓扑的边缘对一维螺旋电子液体产生非弹性反向散射。绝缘子，如许多工作在理论上所预测的。在最近的工作中[H.-Y．谢等人，物理学。牧师116,086603（2016）]表示反向散射场和相互作用的“局部”模型。为了解决这一潜在的争议，在本工作中，我们使用费米子摄动理论研究了反向散射效应，并考虑了反向散射场和电子相互作用的一般形式。我们发现，背向散射效应对背向散射场的局域性质和电子相互作用，后者的对称性以及对电子谱的截止与否至关重要。我们发现在以下假设下确实没有反向散射：（i）局部反向散射场； （ii.a）局部或（ii.b）SU（2）对称相互作用； （iii）边缘态光谱的截止。但是，违反任何这些条件都会导致反向散射。这也与基于玻化技术的结果一致。我们计算相关的反向散射电流，建立其低偏置缩放行为，并预测两个不同缩放模式之间的交叉。我们的发现的主要含义是，在实际系统中，一定程度的反向散射是不可避免的，尽管对于几乎局部的反向散射场和相互作用，它可以被完全抑制。

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  • 来源
    《Physical review》 |2017年第15期|155134.1-155134.13|共13页
  • 作者

    Maxim Kharitonov; Florian Geissler; Bjoern Trauzettel;

  • 作者单位

    Institute for Theoretical Physics and Astrophysics, University of Wuerzburg, 97074 Wurzburg, Germany,Donostia International Physics Center (DIPC), Manuel de Lardizabal 5, E-20018 San Sebastian, Spain;

    Institute for Theoretical Physics and Astrophysics, University of Wuerzburg, 97074 Wurzburg, Germany;

    Institute for Theoretical Physics and Astrophysics, University of Wuerzburg, 97074 Wurzburg, Germany;

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