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arXiv 2608.19312cond-mat.str-elcond-mat.mes-hallcond-mat.supr-conquant-ph

分数量子霍尔-超导体异质结构中零模的干涉特征

Interferometric Signatures of Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures

Junyi Cao, Ramanjit Sohal, Angela Kou, Eduardo Fradkin

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中文总结 AI 辅助

该研究针对分数量子霍尔-超导体异质结构中缺陷束缚的 parafermion 零模,提出两种探测其融合结构的干涉构型,通过约瑟夫森结与法布里-珀罗干涉仪的隧穿特性揭示缺陷的非阿贝尔性质。

中文摘要 AI 辅助

分数量子霍尔-超导体(FQH-SC)异质结构被预测会存在缺陷束缚的 parafermion 零模(PZMs)。我们提出两种相关构型来探测其融合结构:在耦合到单个量子点接触(QPC)的约瑟夫森结中,准粒子隧穿会切换缺陷融合通道,导致分数量子约瑟夫森谱的分支间发生随机跃迁;将该结嵌入双 QPC 法布里-珀罗干涉仪则提供了互补探测手段。弱零模隧穿会产生融合通道依赖的干涉,而强隧穿会使干涉仪探测到融合通道的叠加态并强烈抑制信号:在拓扑极限下信号完全消失,即便母体 FQH 态是阿贝尔的,也能揭示缺陷的非阿贝尔性质。

英文摘要

Fractional quantum Hall-superconductor (FQH-SC) heterostructures are predicted to host defect-bound parafermion zero modes (PZMs). We propose two related configurations to probe their fusion structure. In a Josephson junction coupled to a single quantum point contact (QPC), quasiparticle tunneling switches the defect fusion channel, producing stochastic transitions between branches of the fractional Josephson spectrum. Embedding the junction in a two-QPC Fabry-Pérot interferometer provides a complementary probe. Weak zero mode tunneling produces fusion-channel-dependent interference while strong tunneling makes the interferometer probe a superposition of fusion channels and strongly suppresses the signal: in the topological limit it vanishes exactly, revealing the defects' non-Abelian nature even when the parent FQH state is Abelian.

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