Universal correlations in vibrational spectra of complex crystals

C.J. Lambert; G. Fagas; Vladimir I. Fal'ko

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Universal correlations in vibrational spectra of complex crystals

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arxiv cond-mat/9808024 v1 pith:U5CJYFNM submitted 1998-08-03 cond-mat

G. Fagas , Vladimir I. Fal'ko , C.J. Lambert This is my paper

classification cond-mat

keywords complexcorrelationscrystalcelldisorderedstatisticsunitblock

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

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