Universal correlations in vibrational spectra of complex crystals

Details Universal correlations in vibrational spectra of complex crystals Universal correlations in vibrational spectra of complex crystals

1998-08-03

arxiv.org/abs/cond-mat/9808024v1

Physica B 263-264, pp 136-138 (1999)

Physics

Condensed Matter

to appear in Physica B, proceedings of the 9th international conference on phonon scattering (Phonons 98)

Scientific paper

10.1016/S0921-4526(98)01208-3

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 ${\bf Q}\not=0$ in the Brillouin zone exhibit correlations specific to the GUE universality class.

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