133 citations · 178 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2012★ 133 cited
The Ioffe-Regel criterion and diffusion of vibrations in random lattices
Y. M. Beltukov, V. I. Kozub, D. A. Parshin
We consider diffusion of vibrations in 3d harmonic lattices with strong force-constant disorder. Above some frequency w_IR, corresponding to the Ioffe-Regel crossover, notion of ph…
cond-mat.dis-nn2011★ 27 cited
Sparse random matrices and vibrational spectra of amorphous solids
Y. M. Beltukov, D. A. Parshin
A random matrix approach is used to analyze the vibrational properties of amorphous solids. We investigated a dynamical matrix M=AA^T with non-negative eigenvalues. The matrix A is…
cond-mat.dis-nn2010★ 18 cited
Density of states in random lattices with translational invariance
Y. M. Beltukov, D. A. Parshin
We propose a random matrix approach to describe vibrational excitations in disordered systems. The dynamical matrix M is taken in the form M=AA^T where A is some real (not generall…