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arXiv 0912.4716cond-mat.mes-hallcond-mat.str-el
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拓扑绝缘体中非阿贝尔法布里-珀罗干涉理论

Theory of non-Abelian Fabry-Perot interferometry in topological insulators

Johan Nilsson, A. R. Akhmerov

摘要:

非阿贝尔边缘激发的干涉测量是拓扑量子计算中的一个有用工具。在本文中,我们提出了一个理论的非阿贝尔边缘态干涉仪的三维拓扑绝缘体接近的s波超导体。在这个系统中的非阿贝尔边缘激发具有相同的统计在以前研究的5/2分数量子霍尔(Fractional quantum Hall,简称FWHH)效应和手征p波超导体。然而,我们所考虑的设置与这些系统之间存在关键差异,例如需要在带电和中性激励之间进行转换,以及非阿贝尔激励的中性。这些差异表现在电导的温度标度指数为-7/4,而不是5/2 μ H效应中的-3/2。

英文摘要:

Interferometry of non-Abelian edge excitations is a useful tool in topological quantum computing. In this paper we present a theory of a non-Abelian edge state interferometer in a 3D topological insulator brought in proximity to an s-wave superconductor. The non-Abelian edge excitations in this system have the same statistics as in the previously studied 5/2 fractional quantum Hall (FQH) effect and chiral p-wave superconductors. There are however crucial differences between the setup we consider and these systems, like the need for a converter between charged and neutral excitations and the neutrality of the non-Abelian excitations. These differences manifest themselves in a temperature scaling exponent of -7/4 for the conductance instead of -3/2 as in the 5/2 FQH effect.

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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