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This paper proposes experimental configurations using Fabry-Pérot interferometers to detect zero modes in fractional quantum Hall-superconductor heterostructures, aiming to reveal the non-Abelian nature of defects even within Abelian parent states. By analyzing how quasiparticle tunneling affects interference signals, the study offers a critical pathway for verifying topological qubit properties essential for fault-tolerant quantum computing.
Interferometric Signatures of Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures
arXiv:2608.19312v1 Announce Type: cross Abstract: 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-P\'{e}rot 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.
Abstract: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.
Strongly Correlated Electrons (cond-mat.str-el); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Superconductivity (cond-mat.supr-con); Quantum Physics (quant-ph)
arXiv:2608.19312 [cond-mat.str-el]
(or arXiv:2608.19312v1 [cond-mat.str-el] for this version)
https://doi.org/10.48550/arXiv.2608.19312 arXiv-issued DOI via DataCite (pending registration)
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