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In this Lecture we discuss the anharmonic interactionsAnharmonicanharmonic interactionInteractionanharmonic interaction corresponding to the cubic and quartic terms in the phonon HamiltonianHamiltonianphonon Hamiltonian. These interactions determine the damping of the phonon spectrumPhononphonon spectrumSpectrumphonon spectrum (related to the decay and picking up processes), as well as temperature corrections to the energy and specific heat of the crystal. We analyze different temperature dependences of the phonon lifetimeLifetimephonon lifetime in the long wavelength limit at low temperaturesTemperaturelow temperature.

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Lecture 12. Anharmonic Interactions: The Damping of the Phonon Spectrum

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  • 发表日期：

    2026年

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  • Maxim Kagan

摘要

In this Lecture we discuss the anharmonic interactionsAnharmonicanharmonic interactionInteractionanharmonic interaction corresponding to the cubic and quartic terms in the phonon HamiltonianHamiltonianphonon Hamiltonian. These interactions determine the damping of the phonon spectrumPhononphonon spectrumSpectrumphonon spectrum (related to the decay and picking up processes), as well as temperature corrections to the energy and specific heat of the crystal. We analyze different temperature dependences of the phonon lifetimeLifetimephonon lifetime in the long wavelength limit at low temperaturesTemperaturelow temperature.