Negative refraction in hyperbolic hetero-bicrystals

Abstract

We visualized negative refraction of phonon polaritons, which occurs at the interface between two natural crystals. The polaritons - hybrids of infrared photons and lattice vibrations - form collimated rays that display negative refraction when passing through a planar interface between the two hyperbolic van der Waals materials: molybdenum oxide ($Mo{O}_3$) and isotopically pure hexagonal boron nitride ($h^{11}BN$). At a special frequency $\ddot{I}{‰}_0$, these rays can circulate along closed diamond-shaped trajectories. We have shown that polariton eigenmodes display regions of both positive and negative dispersion interrupted by multiple gaps that result from polaritonic level repulsion and strong coupling.