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arxiv 2410.14329 v1 pith:6ZKNPQVX submitted 2024-10-18 cond-mat.mes-hall

Non-Hermitian topology in the quantum Hall effect of graphene

classification cond-mat.mes-hall
keywords non-hermitianhallquantumtopologygraphenephasesplatformtopological
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum Hall phases have recently emerged as a platform to investigate non-Hermitian topology in condensed-matter systems. This platform is particularly interesting due to its tunability, which allows to modify the properties and topology of the investigated non-Hermitian phases by tuning external parameters of the system such as the magnetic field. Here, we show the tunability of non-Hermitian topology chirality in a graphene heterostructure using a gate voltage. By changing the charge carrier density, we unveil some novel properties specific to different quantum Hall regimes. First, we find that the best quantization of the non-Hermitian topological invariant is interestingly obtained at very high filling factor rather than on well-quantized quantum Hall plateaus. This is of particular importance for the efficient operation of devices based on non-Hermitian topology. Moreover, we observe an additional non-Hermitian topological phase in the insulating nu=0 quantum Hall plateau, which survives at lower fields than the opening of the nu=0 gap, confirming a recent prediction of a disorder-induced trivial phase. Our results evidence graphene as a promising platform for the study of non-Hermitian physics and of emergent phases in such topological devices.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Machine learning prediction of the convergence criterion for a topological invariant of finite non-Hermitian chains

    cond-mat.mes-hall 2026-07 conditional novelty 6.0

    The convergence crop-length of the polar-decomposition topological invariant in finite non-Hermitian chains is shown to be governed by skin-effect decay lengths, and is predicted by random-forest regression using root...

  2. Non-Hermitian thermoelectric transport in graphene: Tunable anomalous transmission through complex barriers

    cond-mat.mes-hall 2026-05 unverdicted novelty 6.0

    Complex barriers in graphene produce non-unitary scattering that tunes angular transmission and yields higher thermoelectric figure of merit under loss conditions compared to Hermitian cases.