English

Correlations in optical phonon spectra of complex solids

Mesoscale and Nanoscale Physics 2009-10-31 v1 Disordered Systems and Neural Networks

Abstract

Spectral correlations in the optical phonon spectrum of a solid with a complex unit cell are analysed using the Wigner-Dyson statistical approach. Despite the fact that all force constants are real, we find that the statistics are predominantly of the GUE type depending on the location within the Brillouin zone of a crystal and the unit cell symmetry. Analytic and numerical results for the crossover from GOE to GUE statistics are presented.

Keywords

Cite

@article{arxiv.cond-mat/9910464,
  title  = {Correlations in optical phonon spectra of complex solids},
  author = {G. Fagas and Vladimir I. Fal'ko and C. J. Lambert and Yuval Gefen},
  journal= {arXiv preprint arXiv:cond-mat/9910464},
  year   = {2009}
}

Comments

4 pages. 3 figures and table included

R2 v1 2026-07-22T12:16:01.117Z