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Title: Localized two-vibron bound-state dynamics in a molecular lattice with a defect: Resonances between bound, localized, and free states

Abstract

The two-vibron dynamics in a molecular nanowire with a local defect is characterized. The integration of the time dependent Schrodinger equation has revealed the occurrence of two singular behaviors. When the defect frequency shift is close to the intramolecular anharmonicity, a resonance between the localized two-vibron bound state and the two-vibron free states continuum takes place. The resonance breaks the localized vibron pair and two independent vibrons are emitted on each side of the defect so that an exponential decay of the defect vibrational population occurs. By contrast, when the defect frequency shift is almost twice the anharmonicity, a resonance occurs between the localized two-vibron bound state and the continuum formed by a vibron trapped on the defect and a second vibron delocalized along the nanowire. In that case, the trapped vibron enhances the hopping constant experienced by the second vibron near the defect so that two localized states occur in which the two vibrons are trapped around the defect. Due to the superimposition of these two localized states, the vibrational population is strongly localized around the defect and exhibits oscillations similar to that occurring in a classical discrete breather.

Authors:
 [1]
  1. Laboratoire de Physique Moleculaire, UMR CNRS 6624, Faculte des Sciences - La Bouloie, Universite de Franche-Comte, 25030 Besancon cedex (France)
Publication Date:
OSTI Identifier:
20666257
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 71; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevB.71.115401; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BOUND STATE; DEFECTS; NANOSTRUCTURES; RESONANCE; SCHROEDINGER EQUATION; TIME DEPENDENCE; WIRES

Citation Formats

Pouthier, V. Localized two-vibron bound-state dynamics in a molecular lattice with a defect: Resonances between bound, localized, and free states. United States: N. p., 2005. Web. doi:10.1103/PhysRevB.71.115401.
Pouthier, V. Localized two-vibron bound-state dynamics in a molecular lattice with a defect: Resonances between bound, localized, and free states. United States. https://doi.org/10.1103/PhysRevB.71.115401
Pouthier, V. Tue . "Localized two-vibron bound-state dynamics in a molecular lattice with a defect: Resonances between bound, localized, and free states". United States. https://doi.org/10.1103/PhysRevB.71.115401.
@article{osti_20666257,
title = {Localized two-vibron bound-state dynamics in a molecular lattice with a defect: Resonances between bound, localized, and free states},
author = {Pouthier, V},
abstractNote = {The two-vibron dynamics in a molecular nanowire with a local defect is characterized. The integration of the time dependent Schrodinger equation has revealed the occurrence of two singular behaviors. When the defect frequency shift is close to the intramolecular anharmonicity, a resonance between the localized two-vibron bound state and the two-vibron free states continuum takes place. The resonance breaks the localized vibron pair and two independent vibrons are emitted on each side of the defect so that an exponential decay of the defect vibrational population occurs. By contrast, when the defect frequency shift is almost twice the anharmonicity, a resonance occurs between the localized two-vibron bound state and the continuum formed by a vibron trapped on the defect and a second vibron delocalized along the nanowire. In that case, the trapped vibron enhances the hopping constant experienced by the second vibron near the defect so that two localized states occur in which the two vibrons are trapped around the defect. Due to the superimposition of these two localized states, the vibrational population is strongly localized around the defect and exhibits oscillations similar to that occurring in a classical discrete breather.},
doi = {10.1103/PhysRevB.71.115401},
url = {https://www.osti.gov/biblio/20666257}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 11,
volume = 71,
place = {United States},
year = {2005},
month = {3}
}