Phonon lineshapes in atom-surface scattering

Details Phonon lineshapes in atom-surface scattering Phonon lineshapes in atom-surface scattering

2010-03-03

arxiv.org/abs/1003.0790v2

J. Phys.: Condens. Matter 22, 304017 (2010)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 2 figures

Scientific paper

10.1088/0953-8984/22/30/304017

Phonon lineshapes in atom-surface scattering are obtained from a simple stochastic model based on the so-called Caldeira-Leggett Hamiltonian. In this single-bath model, the excited phonon resulting from a creation or annihilation event is coupled to a thermal bath consisting of an infinite number of harmonic oscillators, namely the bath phonons. The diagonalization of the corresponding Hamiltonian leads to a renormalization of the phonon frequencies in terms of the phonon friction or damping coefficient. Moreover, when there are adsorbates on the surface, this single-bath model can be extended to a two-bath model accounting for the effect induced by the adsorbates on the phonon lineshapes as well as their corresponding lineshapes.

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