Vibration spectra of disordered crystalline surface cluster

R. Tigrine, A. Khater, O. Rafil, M. Belhadi

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A method is presented for the determination of the energies of the localized vibration modes around isolated inhomogeneity, inside a square crystalline surface. The defect breaks the translational symmetry in two directions and gives rise to localized phonons on its neighborhood. Typical dispersion curves for modes of energies along the inhomogeneity are given with their polarizations. These localized modes energies are compared with the vibration modes of the free molecule. The vibration Green's functions are determined for the system and the spectral and state densities are presented numerically for atomic sites that constitute a minimum representation set in the neighborhood of the defect. A hyperfine resonance structure that permits the analysis of the evolution of the dynamics from half-space to others is obtained. This analytic approach is applicable to different surface cluster configurations for the same underlying substrate square symmetry in the present model, which underlies the general character of the method.

Original languageEnglish
Pages (from-to)625-635
Number of pages11
JournalModern Physics Letters B
Volume19
Issue number13-14
DOIs
Publication statusPublished - 20 Jun 2005
Externally publishedYes

Fingerprint

Vibration
Crystalline materials
Inhomogeneity
vibration
Defects
vibration mode
Crystal symmetry
inhomogeneity
Phonons
Energy
Green's function
Translational symmetry
Dispersion Curves
defects
symmetry
Polarization
half spaces
Half-space
Molecules
energy

Keywords

  • Nanostructures
  • Spectral signatures
  • Surface localized dynamical modes
  • Two-dimensional crystals

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Vibration spectra of disordered crystalline surface cluster. / Tigrine, R.; Khater, A.; Rafil, O.; Belhadi, M.

In: Modern Physics Letters B, Vol. 19, No. 13-14, 20.06.2005, p. 625-635.

Research output: Contribution to journalArticle

Tigrine, R, Khater, A, Rafil, O & Belhadi, M 2005, 'Vibration spectra of disordered crystalline surface cluster', Modern Physics Letters B, vol. 19, no. 13-14, pp. 625-635. https://doi.org/10.1142/S0217984905008633
Tigrine, R. ; Khater, A. ; Rafil, O. ; Belhadi, M. / Vibration spectra of disordered crystalline surface cluster. In: Modern Physics Letters B. 2005 ; Vol. 19, No. 13-14. pp. 625-635.
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