Correlations in optical phonon spectra of complex solids

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

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Correlations in optical phonon spectra of complex solids

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arxiv cond-mat/9910464 v1 pith:UUHQU63E submitted 1999-10-27 cond-mat.mes-hall cond-mat.dis-nn

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

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keywords cellcomplexcorrelationsopticalphononstatisticsunitanalysed

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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.

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