Universal Vibrational Properties of Disordered Systems in Terms of the Theory of Random Correlated Matrices

JETP Letters - It has been shown that a correlated Wishart ensemble can be used to study the general vibrational properties of stable amorphous solids, where the energy is translationally...     

Dispersion of Flexural Modes in Soft 2D Lattices

Journal of Experimental and Theoretical Physics - We have constructed a consistent theory of flexural phonon mode spectra of simple 2D crystal lattice. Analytic expressions have been obtained for...     

Random Matrix Theory and the Boson Peak in Two-Dimensional Systems

Physics of the Solid State - The random matrix theory is used to describe the vibrational properties of two-dimensional disordered systems with a large number of degrees of freedom. It is shown...     

Boson Peak in Amorphous Graphene in the Stable Random Matrix Model

Physics of the Solid State - The effect of disorder in the distribution of force constants on optical and acoustic phonons in the scalar model of crystalline graphene is studied for both...