Observation of non-Hermitian topology in a multi-terminal quantum Hall device

Abstract

Quantum devices characterized by non-Hermitian topology are predicted to show highly robust and potentially useful properties, but realizing them has remained a daunting experimental task. This is because non-Hermiticity is often associated with gain and loss, which would require precise tailoring to produce the signatures of nontrivial topology. Here, instead of gain/loss, we use the nonreciprocity of the quantum Hall edge states to directly observe non-Hermitian topology in a multi-terminal quantum Hall ring. Our transport measurements evidence a robust, non-Hermitian skin effect: currents and voltages show an exponential profile, which persists also across Hall plateau transitions away from the regime of maximum non-reciprocity. Our observation of non-Hermitian topology in a quantum device introduces a scalable experimental approach to construct and investigate generic non-Hermitian systems.

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Cited by in corpus (23)

• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Magnetochiral Charge Pumping due to Charge Trapping and Skin Effect in Chirality-Induced Spin Selectivity
• The non-Hermitian skin effect: A perspective
• Non-Hermitian Topology in Hermitian Topological Matter
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Non-Hermitian topological ohmmeter
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Non-Hermitian superconducting diode effect
• Topological phase transition in fluctuating imaginary gauge fields
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Signatures of exceptional points in multiterminal superconductor-normal metal junctions
• Non-Hermitian skin effect and electronic nonlocal transport
• Walking behavior induced by $\mathcal{P}\mathcal{T}$ symmetry breaking in a non-Hermitian $\mathrm{XY}$ model with clock anisotropy
• Non-Hermitian Hopf insulators
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Emergence of Imaginary Time Crystals in the non-Hermitian Su-Schrieffer-Heeger model
• Dimensional crossover of class D real-space topological invariants
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Exceptional flat bands in bipartite non-Hermitian lattices