Phonons and Their Interactions
Chapter
First Online:
Abstract
Within the harmonic approximation, phonons are non-interacting and have an infinite lifetime. Including higher terms (anharmonic terms) in the expansion of the potential leads to an interaction between phonons. As a result, a phonon from a given state defined by the wave vector q and the branch j of the dispersion spectrum ω j (q) will decay into other phonons after a finite time. Phonon–phonon interactions involve different number of phonons in the interaction process.
Keywords
Wave Vector Fermi Surface Phonon Dispersion Reciprocal Lattice Vector Phonon Interaction
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
- 1.J.M. Ziman, Electrons and Phonons. (Oxford, London, 1962)Google Scholar
- 2.J.A. Reissland, The Physics of Phonons. (Wiley, Toronto, 1972)Google Scholar
- 3.A. Berke, J. Phys. C Solid State Phys. 21, 2205 (1988)CrossRefGoogle Scholar
- 4.H.J. Maris et al., Phys. Rev. Lett. 25, 220 (1970)CrossRefADSGoogle Scholar
- 5.L.P. Pitayevski et al., Phys. Rev. B 14, 263 (1976)CrossRefADSGoogle Scholar
- 6.G. Grimvall, The Electrons–Phonons Interaction in Metals, vol. XVI. (North Holland, 1980)Google Scholar
- 7.W. Kohn, Phys. Rev. Lett. 2, 393 (1959)CrossRefADSGoogle Scholar
- 8.B.N. Brockhouse, Inelastic Scattering of Neutrons in Solids and Liquids. (IAEA, Vienna, 1961)Google Scholar
- 9.D.E. Moncton et al., Phys. Rev. B 16, 801 (1977)CrossRefADSGoogle Scholar
- 10.R. Stedman et al., Phys. Rev. 163, 567 (1967)CrossRefADSGoogle Scholar
- 11.S.C. Ng et al., Solid State Comm. 5, 79 (1967)CrossRefADSGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2010