Phonon localization in quasiperiodic systems

F. Salazar; C. Wang; A. Gelover-Santiago; A. Zentella-Dehesa; G. G. Naumis; J. Talamantes

doi:10.1016/j.jnoncrysol.2003.08.034

Phonon localization in quasiperiodic systems

F. Salazar, C. Wang, A. Gelover-Santiago, A. Zentella-Dehesa, G. G. Naumis, J. Talamantes

Research output: Contribution to journal › Conference article › peer-review

5 Scopus citations

Abstract

The effects of anharmonic interactions on the localization of phonons in quasiperiodic systems are studied by looking at the transmittance, Lyapunov exponent, participation ratio and energy-level-spacing distribution, within the rotating-wave approximation and first-order perturbation theory. For Fibonacci chains, a power-law distribution is found in the small-spacing region, since the eigenstates are critical. Even within first perturbation stages, anharmonic contributions do clearly manifest, weakening the level clustering behavior, contrary to the periodic case where the distribution is insensitive to weak anharmonic interactions. These results suggest a structural instability of the self-similar vibrational spectrum in quasiperiodic systems.

Original language	English
Pages (from-to)	167-170
Number of pages	4
Journal	Journal of Non-Crystalline Solids
Volume	329
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jnoncrysol.2003.08.034
State	Published - 1 Nov 2003
Externally published	Yes
Event	7th International Workshop on Non-Crystalline Solids - Mexico City, Mexico Duration: 12 Feb 2003 → 14 Feb 2003

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10.1016/j.jnoncrysol.2003.08.034

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title = "Phonon localization in quasiperiodic systems",

abstract = "The effects of anharmonic interactions on the localization of phonons in quasiperiodic systems are studied by looking at the transmittance, Lyapunov exponent, participation ratio and energy-level-spacing distribution, within the rotating-wave approximation and first-order perturbation theory. For Fibonacci chains, a power-law distribution is found in the small-spacing region, since the eigenstates are critical. Even within first perturbation stages, anharmonic contributions do clearly manifest, weakening the level clustering behavior, contrary to the periodic case where the distribution is insensitive to weak anharmonic interactions. These results suggest a structural instability of the self-similar vibrational spectrum in quasiperiodic systems.",

author = "F. Salazar and C. Wang and A. Gelover-Santiago and A. Zentella-Dehesa and Naumis, {G. G.} and J. Talamantes",

note = "Funding Information: This work has partially been supported by CONACyT-41492-F, DGAPA-IN101701 and IN108052-3.; 7th International Workshop on Non-Crystalline Solids ; Conference date: 12-02-2003 Through 14-02-2003",

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TY - JOUR

T1 - Phonon localization in quasiperiodic systems

AU - Salazar, F.

AU - Wang, C.

AU - Gelover-Santiago, A.

AU - Zentella-Dehesa, A.

AU - Naumis, G. G.

AU - Talamantes, J.

N1 - Funding Information: This work has partially been supported by CONACyT-41492-F, DGAPA-IN101701 and IN108052-3.

PY - 2003/11/1

Y1 - 2003/11/1

N2 - The effects of anharmonic interactions on the localization of phonons in quasiperiodic systems are studied by looking at the transmittance, Lyapunov exponent, participation ratio and energy-level-spacing distribution, within the rotating-wave approximation and first-order perturbation theory. For Fibonacci chains, a power-law distribution is found in the small-spacing region, since the eigenstates are critical. Even within first perturbation stages, anharmonic contributions do clearly manifest, weakening the level clustering behavior, contrary to the periodic case where the distribution is insensitive to weak anharmonic interactions. These results suggest a structural instability of the self-similar vibrational spectrum in quasiperiodic systems.

AB - The effects of anharmonic interactions on the localization of phonons in quasiperiodic systems are studied by looking at the transmittance, Lyapunov exponent, participation ratio and energy-level-spacing distribution, within the rotating-wave approximation and first-order perturbation theory. For Fibonacci chains, a power-law distribution is found in the small-spacing region, since the eigenstates are critical. Even within first perturbation stages, anharmonic contributions do clearly manifest, weakening the level clustering behavior, contrary to the periodic case where the distribution is insensitive to weak anharmonic interactions. These results suggest a structural instability of the self-similar vibrational spectrum in quasiperiodic systems.

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U2 - 10.1016/j.jnoncrysol.2003.08.034

DO - 10.1016/j.jnoncrysol.2003.08.034

M3 - Artículo de la conferencia

AN - SCOPUS:0242525749

SN - 0022-3093

VL - 329

SP - 167

EP - 170

JO - Journal of Non-Crystalline Solids

JF - Journal of Non-Crystalline Solids

IS - 1-3

T2 - 7th International Workshop on Non-Crystalline Solids

Y2 - 12 February 2003 through 14 February 2003

ER -

Phonon localization in quasiperiodic systems

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