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Universal correlations in vibrational spectra of complex crystals

Research output: Contribution to journalJournal article


Journal publication date03/1999
JournalPhysica B: Condensed Matter
Number of pages3
Original languageEnglish


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 Q not equal 0 in the Brillouin zone exhibit correlations specific to the GUE universality class.