  Recent theoretical and experimental studies demonstrated that an
electromagnetic metamaterial approach is capable of drastically increasing the
critical temperature Tc of composite metamaterial superconductors. This
progress was achieved by engineering the frequency-dependent dielectric
response function of the metamaterial. Here we further extend this approach by
introducing the concept of hybrid acousto-electromagnetic hyperbolic
metamaterial superconductors, which are projected to exhibit strongly enhanced
superconducting properties due to artificially engineered broadband divergency
of the Eliashberg electron-phonon spectral density function. Based on the
developed approach, a hybrid acousto-electromagnetic metamaterial is proposed,
which is made of LSCO/STO nano-alloy.
