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Collective excitations in periodic, elastic arrangements of atoms or molecules in condensed matter, like solids and some liquids. They are quasiparticle quantum modes of vibration of elastic structures of interacting particles.

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Why there is no ZA acoustic mode in bulk 3D materials whereas it appears in 2D materials (mo...

There are two transverse acoustic (TA) and one longitudinal acoustic (LA) phonons in bulk solids. …
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5 votes

Why is the k=0 phonon neglected when calculating Debye-Waller factor?

The $k=0$ (acoustic) phonon is exactly zero, not approximately, and simply means the entire crystal is translated by a constant. This is a fully coherent motion, as all the atoms move in the same way, …
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4 votes

Why don't low frequency phonons scatter electrons in a superconductor?

Thus, the only thermally populated excitations, be they phonons or anything else, do not have enough energy to break a Cooper pair. … This is definitely possible through scattering via acoustic phonons for example, which can have very low momentum. …
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1 vote

In the Lorentz oscillator model, what does it mean if the high-frequency dielectric constant...

A simple way to think about this is to set $\epsilon_{\infty}=0$ and thinkabout this as a system with two resonances, one at a frequency within your measurement range, and another which is at much hig …
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3 votes
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Do atoms always move in phase within the unit cell for acoustic mode phonons?

At $k=0$, acoustic phonons correspond to macroscopic translation of the entire crystal, which naturally are completely in phase and cost zero energy. … This behavior is essentially by definition and is always true as acoustic phonons are the Goldstone modes of translation. …
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10 votes

The difference between optical phonons and acoustic phonons in terms of energy absorption

In pictures, look at the following figure showing the dispersion relations for light, optical phonons, and acoustic phonons $\omega=f(k)$. Which curve does the light line (red) intersect? … However, using this same diagram, you can imagine multi-photon processes where you can excite acoustic phonons. …
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1 vote
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Connection between the 'spin' and 'polarization' of relativistic and non-relativistic particles

For phonons, which are displacements of atoms nuclei, you have a field which transforms as a vector, hence you obtain spin-1. … Answer to Question 2: I believe the premise of this question is incorrect, acoustic phonons do not have spin-0, they have spin-1. …
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3 votes

Are acoustic phonon frequencies always linear in $k$?

This is apparently a generic feature of the out-of-plane polarized acoustic phonons in quasi-2D layered materials. … It is important to point out that the other acoustic phonons have linear dispersions. …
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