Gravitational-Like Lens Based on Graphene Ripple

Abstract We conducted a semiclassical study on carrier movement in curved graphene. A previous attempt was made to show that curved graphene is a readily available and cheap laboratory material used to study general relativity effects, especially if the electron energies satisfy ${\rm 4}\:\mu {\rm eV}\,\ll\,\left| E \right|\,\ll\,{\rm 3}\:{\rm eV}$. Furthermore, a gravitational-like lens can be constructed based on a special graphene ripple; this lens has neither chromatic nor cometic aberration. One can design an ideal electron lens using a graphene ripple.