Probing the meV QCD Axion with the $\texttt{SQWARE}$ Quantum Semiconductor Haloscope

We propose the Semiconductor-Quantum-Well Axion Radiometer Experiment ($\texttt{SQWARE}$) -- a new experimental platform for direct detection of axion dark matter in the meV mass range -- based on resonantly enhanced axion-photon conversion through the inverse Primakoff effect in engineered quantum semiconductor heterostructures. The core of the radiometer is a GaAs/AlGaAs multiple quantum well structure forming a magnetoplasmonic cavity, containing an ultrahigh-mobility two-dimensional electron gas, which realizes a tunable epsilon-near-zero resonance in the terahertz frequency range. By controlling the orientation of the cavity within a strong external magnetic field, both the resonance frequency and the axion-induced current are optimized $\textit{in situ}$, enabling efficient scanning across a broad mass range without complex mechanical adjustment. The axion-induced electromagnetic signal radiatively emitted from the magnetoplasmonic cavity is detected by a state-of-the-art photodetector. We present the theoretical basis for resonant enhancement, detail the experimental design and benchmarks through extensive simulations, and project the sensitivity of $\texttt{SQWARE}$ for several realistic configurations. Our results demonstrate that $\texttt{SQWARE}$ can probe the well-motivated quantum chromodynamics axion parameter space and close a critical gap in direct searches at meV masses.