Dynamical structure factor of a nonlinear Klein-Gordon lattice

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.72.184301· OSTI ID:20719818

Proville, Laurent ^[1]

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1. Service de Recherches de Metallurgie Physique, CEA-Saclay/DEN/DMN 91191-Gif-sur-Yvette Cedex (France)

The quantum modes of a nonlinear Klein-Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to phonon bound states. In the present paper, we compute numerically the dynamical structure factor so as to simulate the coherent scattering cross section at low temperature. The inelastic contribution is studied as a function of the on-site anharmonicity. Interestingly, our numerical method is not limited to the weak anharmonicity and permits one to study thoroughly the spectra of nonlinear phonons.

• OSTI ID: 20719818
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 18 Vol. 72; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUND STATE
COHERENT SCATTERING
CROSS SECTIONS
CRYSTAL STRUCTURE
KLEIN-GORDON EQUATION
NONLINEAR PROBLEMS
PHONONS
SOLIDS
STRUCTURE FACTORS
TEMPERATURE DEPENDENCE