Universal correlations in vibrational spectra of complex crystals

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

doi:10.1016/S0921-4526(98)01208-3

Universal correlations in vibrational spectra of complex crystals

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

Lancaster University

Research output: Contribution to journal › Article › peer-review

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 Q≠0 in the Brillouin zone exhibit correlations specific to the GUE universality class.

Original language	English
Pages (from-to)	136-138
Number of pages	3
Journal	Physica B: Condensed Matter
Volume	263-264
DOIs	https://doi.org/10.1016/S0921-4526(98)01208-3
Publication status	Published - Mar 1999
Externally published	Yes
Event	Proceedings of the 1998 9th International Conference on Phonon Scattering in Condensed Matter, PHONONS 98 - Lancaster, Great Britain Duration: 26 Jul 1998 → 31 Jul 1998

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10.1016/S0921-4526(98)01208-3

Cite this

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title = "Universal correlations in vibrational spectra of complex crystals",

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 Q≠0 in the Brillouin zone exhibit correlations specific to the GUE universality class.",

author = "G. Fagas and Fal'ko, \{Vladimir I.\} and Lambert, \{C. J.\}",

year = "1999",

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doi = "10.1016/S0921-4526(98)01208-3",

language = "English",

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pages = "136--138",

journal = "Physica B: Condensed Matter",

issn = "0921-4526",

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note = "Proceedings of the 1998 9th International Conference on Phonon Scattering in Condensed Matter, PHONONS 98 ; Conference date: 26-07-1998 Through 31-07-1998",

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T1 - Universal correlations in vibrational spectra of complex crystals

AU - Fagas, G.

AU - Fal'ko, Vladimir I.

AU - Lambert, C. J.

PY - 1999/3

Y1 - 1999/3

N2 - 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≠0 in the Brillouin zone exhibit correlations specific to the GUE universality class.

AB - 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≠0 in the Brillouin zone exhibit correlations specific to the GUE universality class.

UR - https://www.scopus.com/pages/publications/0032679357

U2 - 10.1016/S0921-4526(98)01208-3

DO - 10.1016/S0921-4526(98)01208-3

M3 - Article

AN - SCOPUS:0032679357

SN - 0921-4526

VL - 263-264

SP - 136

EP - 138

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

T2 - Proceedings of the 1998 9th International Conference on Phonon Scattering in Condensed Matter, PHONONS 98

Y2 - 26 July 1998 through 31 July 1998

ER -

Universal correlations in vibrational spectra of complex crystals

Abstract

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