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Electron optics deals with condensed matter platforms for manipulating andguiding electron beams with high efficiency and robustness. Common devices relyon the spatial confinement of the electrons into one-dimensional (1D) channels.Recently, there is growing interest in electron optics applications in twodimensions, which heretofore are almost exclusively based on graphene devices.In this work, we study band-inverted systems resulting from particle-holehybridization and demonstrate their potential for electron optics applications.We develop the theory of interface scattering in an inverted-band $pn$ junctionusing a scattering matrix formalism and observe negative refraction conditionsas well as transmission filtering akin to graphene's Klein tunneling but atfinite angles. Based on these findings, we provide a comprehensive protocol forconstructing electron optic components, such as focusing and bifurcatinglenses, polarizers, and mirrors. We numerically test the robustness of ourdesigns to disorder and finite temperatures, and motivate the feasibility ofexperimental realization. Our work opens avenues for electron optics in twodimensions beyond graphene-based devices, where a plethora of inverted-bandmaterials in contemporary experiments can be harnessed.

Electron-optics using negative refraction in two-dimensional inverted-band $pn$ junctions