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Dual Majorana universality in thermally induced nonequilibrium

机译：热诱导的非平衡态的双重马约拉纳普遍性

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摘要

We demonstrate that nonequilibrium nanoscopic systems with Majorana zero modes admit a special kind of universality which cannot be classified as strictly transport or strictly thermodynamic in nature. To reveal such a type of Majorana universality we explore purely thermal nonequilibrium states of a quantum dot whose low-energy degrees of freedom are governed by Majorana zero modes. Specifically, the quantum dot is coupled to a topological superconductor, supporting Majorana zero modes, as well as to two normal metallic contacts with the same chemical potentials but different temperatures. It is shown that the Majorana universality in this setup is dual: it is stored inside both the response of the electric current, excited exclusively by the temperature difference, and the quantum dot compressibility. The latter is defined as the derivative of the quantum dot particle number with respect to the chemical potential and forms a universal Majorana ratio with a proper derivative of the electric current that flows in nonequilibrium states of a purely thermal nature.
机译：我们证明了具有马约拉那零模的非平衡纳米系统接受了一种特殊的普遍性，它本质上不能归类为严格的运输或严格的热力学。为了揭示这种类型的马约拉纳普适性，我们探索了量子点的纯热非平衡态，该量子点的低能量自由度受马约拉纳零模控制。具体来说，量子点耦合到拓扑超导体，支持马约拉纳零模，以及两个具有相同化学势但温度不同的正常金属触点。结果表明，该设置中的Majorana通用性是双重的：它存储在电流响应中（仅受温度差激发）和量子点可压缩性。后者定义为量子点粒子数相对于化学势的导数，并与纯热性质的非平衡态中流动的电流的适当导数形成通用马约拉那比。

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  • 来源
    《Physical review》 |2020年第12期|125417.1-125417.7|共7页
  • 作者

    Sergey Smirnov;

  • 作者单位

    P. N. Lebedev Physical Institute of the Russian Academy of Sciences 119991 Moscow Russia;

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