Enhanced fractional quantum Hall gaps in a two-dimensional electron gas coupled to a hovering split-ring resonator
Abstract: The magnetotransport of a high-mobility two-dimensional electron gas coupled to a hovering split-ring resonator with controllable distance is studied in the quantum Hall regime. The measurements reveal an enhancement by more than a factor 2 of the quantum Hall energy gaps at the fractional filling factors 4/3, 5/3, and 7/5, alongside a concurrent reduction in exchange splitting at odd integer filling factors. Theoretically, we show the strength of both effects to be quantitatively compatible with the emergence of an effective electron-electron long-range attractive interaction mediated by the exchange of virtual cavity photons in the presence of significant spatial gradients of the cavity electric vacuum fields. These results unveil a compelling interplay between cavity quantum electrodynamics and electronic correlations in two-dimensional systems, with profound implications for the manipulation and control of quantum phases in 2D materials.
- W. Lamb and R. Retherford, Phys. Rev. 72, 241 (1947).
- P. Milonni, The Quantum Vacuum: An Introduction to Quantum Electrodynamics (Elsevier Science, 1994).
- L. Winter and O. Zilberberg, arXiv preprint arXiv:2308.12146 .
- C. Ciuti, Physical Review B 104, 155307 (2021).
- S. M. Girvin and K. Yang, Modern Condensed Matter Physics (Cambridge University Press, 2019).
- “See supplementary materials,” .
- J. K. Jain, Phys. Rev. B 41, 7653 (1990).
- J. Janak, Physical Review 178, 1416 (1969).
- N. Regnault and B. A. Bernevig, Phys. Rev. X 1, 021014 (2011).
- Z. Bacciconi, H. Xavier, I. Carusotto, T. Chanda, and M. Dalmonte, “Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons,” (2024), arXiv:2405.12292 [cond-mat.mes-hall] .
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.