Composite-Fermion Study of Cavity-Modified Fractional Quantum Hall Excitation Gaps

• URL: http://arxiv.org/abs/2607.06298v1
• Date: Tue, 07 Jul 2026 14:04:20 GMT
• Title: Composite-Fermion Study of Cavity-Modified Fractional Quantum Hall Excitation Gaps
• Abstract summary: cavity-mediated attractive electron-electron interactions modify excitation gaps of fractional quantum Hall states.<n>We compute both the neutral magnetoroton excitation spectrum and the charged excitation gap relevant to transport experiments.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate how cavity-mediated attractive electron-electron interactions modify the excitation gaps of fractional quantum Hall states within the composite-fermion framework. We compute both the neutral magnetoroton excitation spectrum and the charged excitation gap relevant to transport experiments for the Laughlin $ν=1/3$ and $ν=1/5$ states. We consider a spin-polarized lowest-Landau-level model in which the interaction is mediated by a cavity mode with a spatially uniform vacuum-field gradient and a finite interaction range controlled by a long-distance cutoff. Finite-size scaling reveals that the transport gap is consistently enhanced by the cavity-induced interaction, with the gap enhancement scaling quadratically with the electron number and with the fourth power of the vacuum-field gradient. By contrast, the magnetoroton spectrum exhibits a richer dependence on the interaction range. The high-$k$ magnetoroton gap is enhanced for all interaction ranges considered, consistent with its close connection to the charged excitation gap, even with the long-range character of the interaction.

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