Universal correlations in vibrational spectra of complex crystals
Condensed Matter
2009-10-31 v1
Abstract
We study spectral statistics of lattice modes in a disordered crystal and in a crystal with a complex unit cell. The correlations of the eigenmode frequencies of a block of a disordered solid is found to obey the GOE Wigner-Dyson statistics. In contrast, the set of eigenfrequencies of a crystal with a complex unit cell taken at the same point in the Brillouin zone exhibit correlations specific to the GUE universality class.
Keywords
Cite
@article{arxiv.cond-mat/9808024,
title = {Universal correlations in vibrational spectra of complex crystals},
author = {G. Fagas and Vladimir I. Fal'ko and C. J. Lambert},
journal= {arXiv preprint arXiv:cond-mat/9808024},
year = {2009}
}
Comments
to appear in Physica B, proceedings of the 9th international conference on phonon scattering (Phonons 98)