A quantum field theory of phonons in crystals extended to the multi-band model I

Toyoyuki Kitamura

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 1, 187-200

Abstract: A quantum field theory of phonons in crystals developed in a two-band model is extended to a multi-band model. The Ward-Takahashi relations associated with the spontaneous breakdown of spatially translational and rotational symmetry are represented by use of atom and phonon Green's functions. The Ward-Takahashi relations show the existence of Nambu-Goldstone bosons and the gap equation. A dynamical equation for phonons is derived in the random phase approximation. The higher excited states modify phonon dispersion curves in the two-band model with the density distribution functions. At enough low temperatures the dynamical equation reduces to that in the two-band model corresponding to the conventional lattice theory.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:183:y:1992:i:1:p:187-200

DOI: 10.1016/0378-4371(92)90185-S

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