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arXiv 1810.01263cond-mat.supr-concond-mat.mes-hall
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正常金属-拓扑超导结中的有限频率噪声

Finite frequency noise in a normal metal - topological superconductor junction

D. Bathellier, L. Raymond, T. Jonckheere, J. Rech, A. Zazunov, T. Martin

摘要:

拓扑超导体纳米线在其每一端都具有马约拉纳束缚态,从而导致独特的输运性质。作为一种方法来探测这些,我们研究了一个正常的金属和拓扑超导纳米线之间的偏置结的有限频率噪声。我们使用非平衡Keldysh形式主义计算有限频率的发射和吸收噪声的所有顺序的隧道振幅,低于和高于超导能隙的偏压。我们在吸收和发射噪声中观察到明显的结构,这与简单的传输过程有关。马约拉纳束缚态的存在直接关系到在低频率的噪声谱的特征行为。我们进一步计算的噪声可测量的一个现实的设置,电感耦合到谐振LC电路的基础上,并讨论了检测器温度的影响。我们还计算了一个非拓扑系统的发射噪声与共振水平,表现出零能量Andreev束缚态,为了显示的拓扑情况下的特异性。我们的结果提供了一个原始的工具,进一步表征的存在下的Majorana束缚态的凝聚态系统。

英文摘要:

A topological superconductor nanowire bears a Majorana bound state at each of its ends, leading to unique transport properties. As a way to probe these, we study the finite frequency noise of a biased junction between a normal metal and a topological superconductor nanowire. We use the non-equilibrium Keldysh formalism to compute the finite frequency emission and absorption noise to all order in the tunneling amplitude, for bias voltages below and above the superconducting gap. We observe noticeable structures in the absorption and emission noise, which we can relate to simple transport processes. The presence of the Majorana bound state is directly related to a characteristic behavior of the noise spectrum at low frequency. We further compute the noise measurable with a realistic setup, based on the inductive coupling to a resonant LC circuit, and discuss the impact of the detector temperature. We have also computed the emission noise for a non-topological system with a resonant level, exhibiting a zero-energy Andreev bound state, in order to show the specificities of the topological case. Our results offer an original tool for the further characterization of the presence of Majorana bound states in condensed matter systems.

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