Negative refraction in Möbius molecules

Abstract

We theoretically show the negative refraction existing in M\"obius molecules. The negative refractive index is induced by the nontrivial topology of the molecules. With the M\"obius boundary condition, the effective electromagnetic fields felt by the electron in a M\"obius ring is spatially inhomogeneous. In this regard, the ${D}_{N}$ symmetry is broken in M\"obius molecules and thus the magnetic response is induced through the effective magnetic field. Our findings provide an alternative architecture for negative refractive index materials based on the nontrivial topology of M\"obius molecules.