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arXiv 2603.05901cond-mat.mes-hall
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Majorana边缘模式的 chirality 分裂由化学势移位引起

Chirality Breaking of Majorana Edge Modes Induced by Chemical Potential Shifts

Beijing Computational Science Research Center(北京计算科学研究中心);Graduate School of China Academy of Engineering Physics(中国工程物理研究院研究生院)

Xin Yue, Guo-Jian Qiao

AI总结:

本研究通过分析化学势移位对Majorana边缘模式的影响,发现其能量色散呈现非线性并形成编织状结构,导致边缘模式非chirality。

摘要:

量子反常霍尔绝缘体-超导体异质结被预测可宿主chiral Majorana费米子作为边缘模式,这对于拓扑量子计算应用至关重要。尽管在零化学势(μ=0)下边缘态已被广泛研究,但实际相关范围中化学势移位(μ≠0)的领域仍较少被探索。本文提出了μ≠0下边缘态的解析处理,推导出近似但高度准确的解,适用于实际实验参数。令人惊讶的是,我们发现边缘带的能量色散表现出非线性,并在特定参数范围内转变为扭曲的、编织状结构。这种独特的编织状带导致边缘模式的非chirality,允许向两个方向传播。

英文摘要:

Quantum anomalous Hall insulator-superconductor heterostructures are predicted to host chiral Majorana fermions as edge modes, which is essential for topological quantum computing applications. Although the edge states have been extensively studied at zero chemical potential $μ= 0$, the practically relevant regime with a shifted chemical potential ($μ\neq 0$) remains less explored. Here, we present an analytical treatment of the edge states for $μ\neq 0$, deriving an approximate but highly accurate solution applicable to realistic experimental parameters. Surprisingly, we find that the energy dispersion of the edge band exhibits nonlinearity and transforms into a twisted, braid-like structure within specific parameter ranges. This unique braid-like band leads to non-chirality of the edge modes, allowing propagation in both directions.

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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