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Observation of ballistic upstream modes at fractional quantum Hall edges of graphene

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arxiv 2107.12616 v1 pith:XHVWRM4G submitted 2021-07-27 cond-mat.mes-hall

Observation of ballistic upstream modes at fractional quantum Hall edges of graphene

classification cond-mat.mes-hall
keywords upstreammodesnoisecurrentedgeedgesgraphenephases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The structure of edge modes at the boundary of quantum Hall (QH) phases forms the basis for understanding low energy transport properties. In particular, the presence of ``upstream'' modes, moving against the direction of charge current flow, is critical for the emergence of renormalized modes with exotic quantum statistics. Detection of excess noise at the edge is a smoking gun for the presence of upstream modes. Here we report on noise measurements at the edges of fractional QH (FQH) phases realized in dual graphite-gated bilayer graphene devices. A noiseless dc current is injected at one of the edge contacts, and the noise generated at contacts at $L= 4\,\mu$m or $10\,\mu$m away along the upstream direction is studied. For integer and particle-like FQH states, no detectable noise is measured. By contrast, for ``hole-conjugate'' FQH states, we detect a strong noise proportional to the injected current, unambiguously proving the existence of upstream modes. The noise magnitude remaining independent of length together with a remarkable agreement with our theoretical analysis demonstrates the ballistic nature of upstream energy transport, quite distinct from the diffusive propagation reported earlier in GaAs-based systems. Our investigation opens the door to the study of upstream transport in more complex geometries and in edges of non-Abelian phases in graphene.

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  1. Testing edge chirality with a three-path fractional quantum Hall interferometer

    cond-mat.mes-hall 2026-07 accept novelty 7.0

    A cubic Aharonov-Bohm three-path interferometer isolates downstream vs upstream edge response and reconstructs charge, scaling dimension, and exchange angle of the tunneling vertex.