Dispersion relations and lattice dynamics of diphenylalanine nanotubes

Abstract

In this work we demonstrate the structural similarity between nanotubes of dipeptide diphenylalanine and one-dimensional locally resonant metamaterials. We developed dynamical model of nanotubes, derived corresponding dispersion relations, and analyzed the origin of the behavior of their optical branch leading to band gap formation. We demonstrate also that the width of the band gap can be varied by tuning the interaction between core molecules. Obtained results are general for many locally resonant metamaterials. © 2018 Institute of Physics Publishing.All Rights Reserved.