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Coulomb drag between helical Luttinger liquids

机译：螺旋Luttinger液体之间的库仑阻力

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摘要

We theoretically study Coulomb drag between two helical edges with broken spin-rotational symmetry, such as would occur in two capacitively coupled quantum spin Hall insulators. For the helical edges, Coulomb drag is particularly interesting because it specifically probes the inelastic interactions that break the conductance quantization for a single edge. Using the kinetic equation formalism, supplemented by bosonization, we find that the drag resistivity ρ_D exhibits a nonmonotonic dependence on the temperature T. In the limit of low T, ρ_D vanishes with decreasing T as a power law if intraedge interactions are not too strong. This is in stark contrast to Coulomb drag in conventional quantum wires, where ρ_D diverges at T→ 0 irrespective of the strength of repulsive interactions. Another unusual property of Coulomb drag between the helical edges concerns higher T for which, unlike in the Luttinger liquid model, drag is mediated by plasmons. The special type of plasmon-mediated drag can be viewed as a distinguishing feature of the helical liquid-because it requires peculiar umklapp scattering only available in the presence of a Dirac point in the electron spectrum.
机译：我们从理论上研究了自旋旋转对称性受损的两个螺旋边缘之间的库仑阻力，例如在两个电容耦合的量子自旋霍尔绝缘体中会发生的阻力。对于螺旋边缘，库仑阻力特别有趣，因为它专门探测破坏单个边缘电导量化的非弹性相互作用。使用动力学方程形式主义并辅以玻化处理，我们发现阻力系数ρ_D对温度T表现出非单调依赖性。在低T的极限下，如果边缘间的相互作用不太强，则ρ_D随T的幂定律消失而消失。这与传统量子线中的库仑阻力形成了鲜明的对比，传统的量子线中ρ_D在T→0处发散，而与排斥相互作用的强度无关。螺旋边缘之间库仑阻力的另一个不寻常特性涉及较高的T，与Luttinger液体模型不同，较高的T由等离激元介导。等离子体激元介导的拖曳的特殊类型可以看作是螺旋液体的显着特征，因为它需要特殊的umklapp散射，只有在电子谱中存在狄拉克点时才可用。

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  • 来源
    《Physical review》 |2017年第4期|045150.1-045150.20|共20页
  • 作者

    N. Kainaris; I. V. Gornyi; A. Levchenko; D. G. Polyakov;

  • 作者单位

    Institut fuer Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany,Institut fuer Theorie der Kondensierten Materie, Karlsruher Institut fuer Technologie, 76128 Karlsruhe, Germany;

    Institut fuer Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany,Institut fuer Theorie der Kondensierten Materie, Karlsruher Institut fuer Technologie, 76128 Karlsruhe, Germany,A.F. loffe Physico-Technical Institute, 194021 St. Petersburg, Russia,L.D. Landau Institute for Theoretical Physics, 119334 Moscow, Russia;

    Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA;

    Institut fuer Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany;

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