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arXiv 1507.05906cond-mat.str-el
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无自旋轨道相互作用的p波超导

Induced p-wave superconductivity without spin-orbit interactions

Fernanda Deus, Mucio A. Continentino, Heron Caldas

摘要:

马约拉纳费米子的研究对于量子计算机的实现具有重要意义。这些模式是拓扑保护的,非常稳定。现在众所周知,p波超导导线可以在其拓扑非平凡相中维持其末端的马约拉纳准粒子。由于这类超导体在自然界中并不存在,人们设计了许多方法来实现它,其中大多数都依赖于自旋-轨道相互作用。本文研究了具有反对称杂化的双带系统的超导性质。我们考虑带间吸引力的相互作用,也有吸引力的相互作用在一个频带。结果表明,由于带间耦合和杂化的共同作用,在非相互作用带中产生了具有p波特征的超导涨落。在导线的情况下,这种类型的感应超导性在其末端产生四个马约拉纳模式。这些模式的不同电荷状态之间的长程相关性为实现受保护的q位提供了新的可能性。

英文摘要:

The study of Majorana fermions is of great importance for the implementation of a quantum computer. These modes are topologically protected and very stable. It is now well known that a p-wave superconducting wire can sustain, in its topological non-trivial phase, Majorana quasi-particles at its ends. Since this type of superconductor is not found in nature, many methods have been devised to implement it. Most of them rely on the spin-orbit interaction. In this paper we study the superconducting properties of a two-band system in the presence of antisymmetric hybridization. We consider inter-band attractive interactions and also an attractive interaction in one of the bands. We show that superconducting fluctuations with p-wave character are induced in the non-interacting band due to the combined effects of inter-band coupling and hybridization. In the case of a wire, this type of induced superconductivity gives rise to four Majorana modes at its ends. The long range correlation between the different charge states of these modes offers new possibilities for the implementation of protected q-bits.

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