Efficient electrical generation of mid-infrared light is challenging because
of the dearth of materials with natural dipole-active electronic transitions in
this spectral region. One approach to solve this problem is through
quantum-engineering of the electron dispersion to create artificial
transitions, as in quantum cascade devices. In this work we propose an
alternative method to generate mid-infrared light, utilizing the coupling
between longitudinal and transverse degrees of freedom due to the nonlocal
optical response of nanoscopic polar dielectric crystals. Polar crystals
support transverse sub-diffraction photonic modes in the mid-infrared. They
also support longitudinal phonons, which couple efficiently with electrical
currents through the Fr\"ohlich interaction. As we have shown in previous
theoretical and experimental works, these two degrees of freedom can hybridize
forming longitudinal-transverse polaritons. Here we theoretically demonstrate
that longitudinal-transverse polaritons can be efficiently generated by
electrical currents, leading to resonant narrowband photonic emission. This
approach can therefore be utilised to electrically generate far-field
mid-infrared photons in the absence of dipole-active electronic transitions,
potentially underpinning a novel generation of mid-infrared optoelectronic
devices.Comment: 14 pages, 6 figure