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Georgia Journal of Science

Article Title

A CONTINUUM MODEL OF PHONONS IN TWO-DIMENSIONAL MATERIALS

Abstract

honon spectra in two-dimensional nanomaterials have almost exclusively been computed using density-functional theory based codes and are complex and prone to qualitative errors due to the various approximations such as use of functionals. An alternative model is a classical continuum model and one such model has been introduced for acoustic phonons in graphene nanoribbons. A new continuum theory of phonons in two-dimensional nanomaterials has been derived from the elastic equations, taking into account the crystalline symmetry. The resulting equations of motion for the displacement fields are given for graphene, silicene and molybdenum disulphide and the results compared.

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