Abstract

In this paper the phonon self energy produced by anharmonicity is calculated\nusing second order many body perturbation theory for all bcc, fcc and hcp\ntransition metals. The symmetry properties of the phonon interactions are used\nto obtain an expression for the self energy as a sum over irreducible triplets,\nvery similar to integration in the irreducible part of the Brillouin zone for\none particle properties. The results obtained for transition metals shows that\nthe lifetime is on the order of 10^10 s. Moreover the Peierls approximation for\nthe imaginary part of the self energy is shown to be reasonable for bcc and fcc\nmetals. For hcp metals we show that the Raman active mode decays into a pair of\nacoustic phonons, their wave vector being located on a surface defined by\nconservation laws.\n

Keywords

PhononAnharmonicityBrillouin zoneCondensed matter physicsWave vectorSurface phononPhysicsTransition metalPerturbation theory (quantum mechanics)Raman spectroscopyQuantum mechanicsChemistry

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Publication Info

Year
2011
Type
article
Volume
84
Issue
9
Citations
497
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Laurent Chaput, Atsushi Togo, Isao Tanaka et al. (2011). Phonon-phonon interactions in transition metals. Physical Review B , 84 (9) . https://doi.org/10.1103/physrevb.84.094302

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DOI
10.1103/physrevb.84.094302