Pseudogap and phonon gap. Does phonon (pseudo)gap exist?

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The discussion centers on the existence of a phonon pseudogap analogous to the pseudogap observed in superconductors and semimetals. Participants inquire about experimental efforts to identify such gaps in the phonon spectrum and whether the pseudogap temperature (T*) correlates with changes in phonon behavior. The connection between the pseudogap and superconducting critical temperature (Tc) is also explored, questioning the presence of a phonon pseudogap in conventional superconductors. Evidence from NMR experiments suggests that the pseudogap in cuprates may relate to the antiferromagnetic properties of their parent materials. Overall, the conversation highlights the complexities of understanding pseudogaps in various materials.
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We all know that there exist pseudogap in superconductors and in metals (semimetals).

Were there the experiments, aimed to find gaps analogues to pseudogap in phonon spectrum?

Is pseudogap T* is connected with some change in phonon spectrum in some direction?

The same question for superconducting Tc.
 
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Why should there be a pseudogap in the phonon spectrum? We know there are no pseudogap in most conventional superconductors.

The pseudogap in present in the spin channel of the cuprates. See NMR experiments on this family of material. So there are indications that this pseudogap could be remnants of the antiferromagnetic background of the parent material.

Zz.
 
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