  Two-dimensional electronic materials such as graphene and transition metal
dichalgenides feature unique electrical and optical properties due to the
conspirative effect of band structure, orbital coupling, and crystal symmetry.
Synthetic matter, as accomplished by artificial lattice arrangements of cold
atoms, molecules, electron patterning, and optical cavities, has emerged to
provide manifold intriguing frameworks to likewise realize such scenarios.
Exciton-polaritons have recently been added to the list of promising candidates
for the emulation of system Hamiltonians on a semiconductor platform, offering
versatile tools to engineer the potential landscape and to access the
non-linear electro-optical regime. In this work, we introduce an electronically
driven square and honeycomb lattice of exciton-polaritons, paving the way
towards real world devices based on polariton lattices for on-chip
applications. Our platform exhibits laser-like emission from high-symmetry
points under direct current injection, hinting at the prospect of electrically
driven polariton lasers with possibly topologically non-trivial properties.
