Бозонный пик в аморфном графене в рамках модели устойчивых случайных матриц

Abstract

We study the role of disorder in the force constants distribution on the acoustical and optical phonons in amorphous graphene. It is shown that for a sufficient strength of disorder the boson peak appears in the density of states. With increasing strength of disorder, the peak moves to low frequencies together with Yung modulus. For sufficiently small disorder we have the Van-Hove singularities in the vibration density of states. With increasing disorder, these singularities transform together to one boson peak. The first disappears optical phonons then the acoustical one. The same investigation was done for flexural modes. We show that these modes disappear in disorder in already weak perturbations and transforms to phonons.