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This study re-evaluates the breakdown of the integer quantum Hall effect in cavity QED, demonstrating that electrostatic boundary effects dominate over previously hypothesized vacuum-induced transport modifications by several orders of magnitude. The findings provide a robust theoretical framework for interpreting experimental signatures and offer clear pathways for future verification through direct testing.
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Electrostatics-induced breakdown of the integer quantum Hall effect in cavity QED

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arXiv:2511.04744v2 Announce Type: replace-cross Abstract: We address the prevailing theoretical explanation of the recently observed breakdown of the integer quantum Hall effect in a two-dimensional electron gas embedded in a metallic split-ring resonator. Within the same single-particle description of quantized Hall conductance, we compare previously proposed vacuum-induced transport modifications against an alternative mechanism that explains this breakdown in terms of non-chiral edge channels arising solely from electrostatic boundary effects. This direct comparison shows that for experimentally relevant parameters, the electrostatic contribution exceeds that of any vacuum-induced conductance modifications by many orders of magnitude and yields characteristic transport signatures and energy scales that align well with experimental observations. This finding sheds new light on this puzzling phenomenon, supporting an electrostatic rather than a vacuum-related interpretation that can be directly tested in experiments.

Abstract:We address the prevailing theoretical explanation of the recently observed breakdown of the integer quantum Hall effect in a two-dimensional electron gas embedded in a metallic split-ring resonator. Within the same single-particle description of quantized Hall conductance, we compare previously proposed vacuum-induced transport modifications against an alternative mechanism that explains this breakdown in terms of non-chiral edge channels arising solely from electrostatic boundary effects. This direct comparison shows that for experimentally relevant parameters, the electrostatic contribution exceeds that of any vacuum-induced conductance modifications by many orders of magnitude and yields characteristic transport signatures and energy scales that align well with experimental observations. This finding sheds new light on this puzzling phenomenon, supporting an electrostatic rather than a vacuum-related interpretation that can be directly tested in experiments.

Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Physics (quant-ph)

arXiv:2511.04744 [cond-mat.mes-hall]

(or arXiv:2511.04744v2 [cond-mat.mes-hall] for this version)

https://doi.org/10.48550/arXiv.2511.04744 Focus to learn more arXiv-issued DOI via DataCite

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