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With the axion being a prime candidate for dark matter, there has been somerecent interest in direct detection through a so called `Ferromagnetichaloscope.' Such devices exploit the coupling between axions and electrons inthe form of collective spin excitations of magnetic materials with the readoutthrough a microwave cavity. Here, we present a new, general, theoreticaltreatment of such experiments in a Hamiltonian formulation for strongly coupledmagnons and photons, which hybridise as cavity-magnon polaritons. Such stronglycoupled systems have an extended measurable dispersive regime. Thus, we extendthe analysis and operation of such experiments into the dispersive regime,which allows any ferromagnetic haloscope to achieve improved bandwidth withrespect to the axion mass parameter space. This experiment was implemented in acryogenic setup, and initial search results are presented setting laboratorylimits on the axion-electron coupling strength of $g_{aee}>3.7\times10^{-9}$ inthe range $33.79~\mu$eV$< m_a<33.94~\mu$eV with $95\%$ confidence. Thepotential bandwidth of the Ferromagnetic haloscope was calculated to be in twobands, the first of about $1$GHz around $8.24$GHz (or $4.1~\mu$eV mass rangearound $34.1~\mu$eV) and the second of about $1.6$GHz around $10$GHz($6.6~\mu$eV mass range around $41.4~\mu$eV). Frequency tuning may also beeasily achieved via an external magnetic field which changes the ferromagneticresonant frequency with respect to the cavity frequency. The requirementsnecessary for future improvements to reach the DFSZ axion model band arediscussed in the paper.

Broadening Frequency Range of a Ferromagnetic Axion Haloscope with Strongly Coupled Cavity-Magnon Polaritons