Correlations in optical phonon spectra of complex solids.

Fagas, G. and Falko, V. F. and Lambert, C. J. and Gefen, Y. (2000) Correlations in optical phonon spectra of complex solids. Physical review B, 61. pp. 9851-9854. ISSN 1098-0121

Abstract

Spectral correlations in the optical phonon spectrum of a solid with a complex unit cell are analyzed 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.