Negative Refraction Induced by Möbius Topology

Abstract

We theoretically show the negative refraction existing in Möbius molecules. The negative refractive index is induced by the non-trivial topology of the molecules. With the Möbius boundary condition, the effective electromagnetic fields felt by the electron in a Möbius ring is spatially inhomogeneous. In this regard, the $D_N$ symmetry is broken in Möbius molecules and thus the magnetic response is induced through the effective magnetic field. Our findings open up a new architecture for negative refractive index materials based on the non-trivial topology of Möbius molecules.

14 pages, 5 figures

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• Empirical LCAO parameters for $\pi$ molecular orbitals in planar organic molecules
• Molecular Split-Ring Resonators Based on Metal String Complexes
• Optical Properties of Drug Metabolites in Latent Fingermarks

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