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arXiv 2402.13862cond-mat.mes-hallcond-mat.supr-con
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马约拉纳零模产生的排斥性卡西米尔力

Repulsive Casimir force from a Majorana zero-mode

C. W. J. Beenakker

AI总结:

本文证明马约拉纳零模在量子自旋霍尔边缘与超导体界面处产生排斥性卡西米尔力,将磁性散射体推离超导体,该力直接关联系统拓扑不变量。

摘要:

Fu和Kane教导我们,在与超导体的界面处的量子自旋霍尔边缘上会出现马约拉纳零模。如果在边缘上放置一个磁性散射体,无质量边缘激发的零点能量会对散射体施加一个力。这是电磁卡西米尔效应的费米子类似物。我们证明马约拉纳零模会产生排斥性卡西米尔力,将散射体推离超导体。与马约拉纳零模的其他一些特征不同,排斥性卡西米尔力直接与系统的拓扑不变量(来自超导体的反射矩阵行列式的符号)相关联。

英文摘要:

Fu and Kane have taught us that a Majorana zero-mode appears on the quantum spin Hall edge at the interface with a superconductor. If a magnetic scatterer is placed on the edge, the zero-point energy of massless edge excitations exerts a force on the scatterer. This is the fermionic analogue of the electromagnetic Casimir effect. We show that the Majorana zero-mode produces a repulsive Casimir force, pushing the scatterer away from the superconductor. Unlike some other signatures of Majorana zero-modes, the repulsive Casimir force is directly tied to the topological invariant of the system (the sign of the determinant of the reflection matrix from the superconductor).

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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