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

• URL: http://arxiv.org/abs/2608.19312v2
• Date: Tue, 25 Aug 2026 16:32:35 GMT
• Title: Interferometric Signatures of Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures
• Abstract summary: We propose two related configurations to probe Fractional quantum Hall-superconductors (FQH-SC)<n>In a Josephson junction coupled to a single quantum point contact (QPC), tunneling switches the defect fusion channel.<n> Embedding the junction in a two-QPC Fabry-Pérot interferometer provides a complementary probe.
• Score: 2.502407331311937
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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