Anomalous Transduction Efficiency in Tl-Doped PbTe via Collective Coupling at Semi-Dirac Nodes

This preprint presents a theoretical and numerical investigation of enhanced SAW-to-electrical transduction in Tl-doped PbTe thin-film lattices. Using an effective semi-Dirac low-energy model and collective Tavis-Cummings scaling, we predict that Tl-resonance-enhanced electron-phonon coupling at semi-Dirac nodes yields an order-of-magnitude (approximately 10×) improvement in transduction efficiency compared to undoped PbTe when driven by a classical 18 GHz surface acoustic wave. The modular “Resonant Skin” architecture consists of vertically stacked 10 nm hexagonal lattices with edge MHD collectors. Open-system Lindblad simulations on a reduced 2-level model demonstrate a ~14.4× enhancement in extracted power for the Tl-doped case, consistent with the effective model prediction. The simulation is a phenomenological illustration of the collective coupling effect and does not represent a full 300-node lattice calculation. The work provides a scientifically defensible and experimentally testable pathway toward high-efficiency thin-film energy harvesting and topological transducers.