Abstract
The phonon spectrum in a quantum crystal, where short-range correlations are important, is obtained by adapting the general relations between the one-phonon response and the thermodynamic properties of an anharmonic crystal proposed by Götze. Specifically, the one-phonon self-energy is obtained by requiring that the elastic constants obtained by the method of long waves equal those obtained as the strain derivatives of the ground-state energy. In practice this means that the atomic force constants can be obtained by formal differentiation of the ground-state energy. We explore the effects of this conserving approximation for theT-matrix and Jastrow methods and implement it numerically for bcc helium.
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Glyde, H.R., Goldman, V.V. Dynamics of quantum crystals. J Low Temp Phys 25, 601–617 (1976). https://doi.org/10.1007/BF00657286
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DOI: https://doi.org/10.1007/BF00657286