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Electron-phonon coupling in the charge density wave state of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>CsV</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi>Sb</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:mrow></mml:math>
The discovery of charge density wave (CDW) order in the kagome-lattice superconductor $A$V${}_{3}$Sb${}_{5}$ is interesting because of the potential interplay between CDW and superconductivity. This paper demonstrates that the CDW order is associated with a sudden hardening of a longitudinal optical phonon mode at the CDW ordering wave vector, thus …