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Universal correlations in vibrational spectra of complex crystals

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Universal correlations in vibrational spectra of complex crystals. / Fagas, G ; Falko, Vladimir; Lambert, C J .
In: Physica B: Condensed Matter, Vol. 263-264, 03.1999, p. 136-138.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Fagas, G, Falko, V & Lambert, CJ 1999, 'Universal correlations in vibrational spectra of complex crystals', Physica B: Condensed Matter, vol. 263-264, pp. 136-138. https://doi.org/10.1016/S0921-4526(98)01208-3

APA

Fagas, G., Falko, V., & Lambert, C. J. (1999). Universal correlations in vibrational spectra of complex crystals. Physica B: Condensed Matter, 263-264, 136-138. https://doi.org/10.1016/S0921-4526(98)01208-3

Vancouver

Fagas G, Falko V, Lambert CJ. Universal correlations in vibrational spectra of complex crystals. Physica B: Condensed Matter. 1999 Mar;263-264:136-138. doi: 10.1016/S0921-4526(98)01208-3

Author

Fagas, G ; Falko, Vladimir ; Lambert, C J . / Universal correlations in vibrational spectra of complex crystals. In: Physica B: Condensed Matter. 1999 ; Vol. 263-264. pp. 136-138.

Bibtex

@article{0ea5e869eb7846eeaa006054907a4a28,
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 not equal 0 in the Brillouin zone exhibit correlations specific to the GUE universality class. ",
keywords = "Vibrational spectra, Disordered systems, Lattice dynamics, Wigner–Dyson statistics",
author = "G Fagas and Vladimir Falko and Lambert, {C J}",
year = "1999",
month = mar,
doi = "10.1016/S0921-4526(98)01208-3",
language = "English",
volume = "263-264",
pages = "136--138",
journal = "Physica B: Condensed Matter",
issn = "0921-4526",
publisher = "ELSEVIER SCIENCE BV",

}

RIS

TY - JOUR

T1 - Universal correlations in vibrational spectra of complex crystals

AU - Fagas, G

AU - Falko, Vladimir

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

KW - Vibrational spectra

KW - Disordered systems

KW - Lattice dynamics

KW - Wigner–Dyson statistics

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

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

M3 - Journal article

VL - 263-264

SP - 136

EP - 138

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

SN - 0921-4526

ER -