Lifetimes of Confined Optical Phonons and the Shape of a Raman Peak in Disordered Nanoparticles: I. Analytical Treatment

Abstract

Microscopic description of Raman spectra in nanopowders of nonpolar crystals is accomplished by developing the theory of disorder-induced broadening of optical vibrational eigenmodes. Analytical treatment of this problem is performed, and line shape and width are determined as functions of phonon quantum numbers, nanoparticle shape, size, and the strength of disorder. The results are found to be strongly dependent on either the broadened line is separated or it is overlapped with other lines of the spectrum. Three models of disorder, i.e. weak point-like impurities, weak smooth random potential and strong rare impurities are investigated in details. The possibility to form the phonon-impurity bound state is also studied.

17 pages, 8 figures

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• An addressable quantum dot qubit with fault-tolerant control fidelity
• Molecular dynamics-based refinement of nanodiamond size measurements obtained with dynamic light scattering
• Substrate-induced reduction of graphene thermal conductivity
• Localized and propagating excitations in gapped phases of spin systems with bond disorder
• Lifetimes of Confined Optical Phonons and the Shape of a Raman Peak in Disordered Nanoparticles: II. Numerical Treatment

Cited by in corpus (5)

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• Lifetimes of Confined Optical Phonons and the Shape of a Raman Peak in Disordered Nanoparticles: II. Numerical Treatment
• Coupled oscillators model for hybridized optical phonon modes in contacting nanosized particles and quantum dot molecules
• Bench tests for microscopic theory of Raman scattering in powders of disordered nonpolar crystals: nanodiamonds and Si nanoparticles