Majorana modes in striped two-dimensional inhomogeneous topological superconductors

IF 5.4 1区 物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY npj Quantum Materials Pub Date : 2024-08-10 DOI:10.1038/s41535-024-00672-0
Pasquale Marra, Daisuke Inotani, Takeshi Mizushima, Muneto Nitta
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Abstract

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex cores of two-dimensional topological superconductors or at the ends of one-dimensional topological superconductors. Here we describe an alternative platform: a two-dimensional topological superconductor with inhomogeneous superconductivity, where Majorana modes localize at the ends of topologically nontrivial one-dimensional stripes induced by the spatial variations of the order parameter phase. In certain regimes, these Majorana modes hybridize into a single highly nonlocal state delocalized over spatially separated points, with exactly zero energy at finite system sizes and with emergent quantum-mechanical supersymmetry. We then present detailed descriptions of braiding and fusion protocols and showcase the versatility of our proposal by suggesting possible setups that can potentially lead to the realization of Yang-Lee anyons and the Sachdev-Ye-Kitaev model.

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条状二维非均质拓扑超导体中的马约拉纳模式
马约拉纳零模因其在拓扑量子计算和实现奇异量子相方面的潜在应用而备受关注。这些零能量准粒子激元定位在二维拓扑超导体的涡核或一维拓扑超导体的末端。在这里,我们描述了另一种平台:一种具有不均匀超导性的二维拓扑超导体,在这种超导体中,马约拉纳模式定位于由阶参量相位的空间变化引起的拓扑非三维一维条纹的末端。在某些情况下,这些马约拉纳模式会杂化为单一的高度非局部态,在空间分离的点上脱局部,在有限的系统尺寸下能量恰好为零,并具有新出现的量子力学超对称性。然后,我们详细描述了辫状结构和融合协议,并通过提出有可能实现杨李任子和 Sachdev-Ye-Kitaev 模型的可能设置,展示了我们建议的多功能性。
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来源期刊
npj Quantum Materials
npj Quantum Materials Materials Science-Electronic, Optical and Magnetic Materials
CiteScore
10.60
自引率
3.50%
发文量
107
审稿时长
6 weeks
期刊介绍: npj Quantum Materials is an open access journal that publishes works that significantly advance the understanding of quantum materials, including their fundamental properties, fabrication and applications.
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