A Can a Solid Vibrate at Debye Max Frequency?

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Debye model
Can a solid vibrate with only one frequency-Debye maximal frequency?
 
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Well, if you had a crystal where atoms would vibrate independently around their equilibrium position, this system would be described by the Einstein model with only one vibration frequency.
 
From the BCS theory of superconductivity is well known that the superfluid density smoothly decreases with increasing temperature. Annihilated superfluid carriers become normal and lose their momenta on lattice atoms. So if we induce a persistent supercurrent in a ring below Tc and after that slowly increase the temperature, we must observe a decrease in the actual supercurrent, because the density of electron pairs and total supercurrent momentum decrease. However, this supercurrent...
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