论文标题

障碍对Majorana零模式的影响:Kitaev链与半导体纳米线

Disorder effects on Majorana zero modes: Kitaev chain versus semiconductor nanowire

论文作者

Pan, Haining, Sarma, S. Das

论文摘要

在过去的十年中,超导型纳米线中的Majorana零模式进行了广泛的研究。疾病仍然是一个严重的问题,阻止了对拓扑主要结合状态的明确观察。因此,值得重新审视简单模型,基塔夫链,并研究弱和强障碍对基塔夫链的影响。通过将疾病在基塔耶链链中的作用与纳米线中的作用进行比较,我们发现疾病会影响这两种系统,但以非宇宙方式影响。通常,疾病对纳米线的作用要比基塔夫链具有更强的作用,尤其是对于弱至中度疾病。对于强烈的疾病,基塔夫链和纳米线都表现出由于普遍的安德森本地化而表现出随机的无特征行为。因此,只有消失和强大的疾病制度是普遍的,分别表现出拓扑超导性和安德森本地化,但是实验相关的中间疾病制度是非上恋者,其细节取决于系统中的疾病实现。

Majorana zero modes in a superconductor-semiconductor nanowire have been extensively studied during the past decade. Disorder remains a serious problem, preventing the definitive observation of topological Majorana bound states. Thus, it is worthwhile to revisit the simple model, the Kitaev chain, and study the effects of weak and strong disorder on the Kitaev chain. By comparing the role of disorder in a Kitaev chain with that in a nanowire, we find that disorder affects both systems but in a nonuniversal manner. In general, disorder has a much stronger effect on the nanowire than the Kitaev chain, particularly for weak to intermediate disorder. For strong disorder, both the Kitaev chain and nanowire manifest random featureless behavior due to universal Anderson localization. Only the vanishing and strong disorder regimes are thus universal, manifesting respectively topological superconductivity and Anderson localization, but the experimentally relevant intermediate disorder regime is nonuniversal with the details dependent on the disorder realization in the system.

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