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arXiv 1201.0159cond-mat.mes-hall
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扶手椅型碳纳米管中电场诱导的Majorana费米子

Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes

Jelena Klinovaja, Suhas Gangadharaiah, Daniel Loss

摘要:

我们从理论上考虑了在电场存在下的扶手椅型碳纳米管(CNT)与s波超导体的接触。我们发现,邻近效应打开了不同的强度的外部和内部分支的两个狄拉克点的CNT中的超导间隙。对于强邻近感生超导性,内部带隙可以是p波型,而外部带隙可以通过电场调谐为s波型。这样的设置在CNT的每一端支持单个马约拉纳束缚态。在弱邻近感应超导的情况下,两个分支中的间隙都是p波型的。然而,温度可以这样选择,即最小的间隙被有效地闭合。使用重整化群技术,我们表明,马约拉纳束缚态的存在,即使考虑到电子-电子相互作用。

英文摘要:

We consider theoretically an armchair Carbon nanotube (CNT) in the presence of an electric field and in contact with an s-wave superconductor. We show that the proximity effect opens up superconducting gaps in the CNT of different strengths for the exterior and interior branches of the two Dirac points. For strong proximity induced superconductivity the interior gap can be of the p-wave type, while the exterior gap can be tuned by the electric field to be of the s-wave type. Such a setup supports a single Majorana bound state at each end of the CNT. In the case of a weak proximity induced superconductivity, the gaps in both branches are of the p-wave type. However, the temperature can be chosen in such a way that the smallest gap is effectively closed. Using renormalization group techniques we show that the Majorana bound states exist even after taking into account electron-electron interactions.

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