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首页> 外文期刊>Physical review >Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions
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Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions

机译：自旋轨道相互作用下石墨烯的介电功能，筛选和等离子体激元

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摘要

We study the dielectric properties of graphene in the presence of Rashba and intrinsic spin-orbit interactions in their most general form, i.e., for arbitrary frequency, wave vector, doping, and spin-orbit coupling (SOC) parameters. The main result consists in the derivation of closed analytical expressions for the imaginary as well as for the real part of the polarization function. Several limiting cases, e.g., the case of purely Rashba or purely intrinsic SOC, and the case of equally large Rashba and intrinsic coupling parameters are discussed. In the static limit the asymptotic behavior of the screened potential due to charged impurities is derived. In the opposite limit (q = 0, ω → 0), an analytical expression for the plasmon dispersion is obtained and afterwards compared to the numerical result. Our result can also be applied to related systems such as bilayer graphene or topological insulators.
机译：我们研究了存在Rashba时石墨烯的介电特性以及它们以最普遍的形式固有的自旋轨道相互作用，即对于任意频率，波矢，掺杂和自旋轨道耦合（SOC）参数。主要结果在于推导了偏光函数的虚部和实部的闭合解析表达式。讨论了几种极限情况，例如纯Rashba或纯本征SOC的情况，以及同等大的Rashba和本征耦合参数的情况。在静态极限中，推导了由于带电杂质导致的屏蔽电势的渐近行为。在相反的限制（q = 0，ω→0）中，获得了等离激元色散的解析表达式，然后与数值结果进行比较。我们的结果也可以应用于相关系统，例如双层石墨烯或拓扑绝缘体。

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