High School How does lattice vibration affect electron mobility in semiconductor?

[Aria James]

Hi everyone,
I'm currently studying how temperature impacts electron mobility in semiconductors, particularly in relation to lattice vibrations (phonons). I understand that as temperature increases, phonon scattering increases, which reduces mobility but I’m trying to get a more detailed understanding of how this is modeled or measured in real-world materials like silicon or GaAs.
Has anyone worked on this topic or can point me to a reliable experimental method or dataset? Also, does this effect vary significantly between crystalline and amorphous materials?
Would appreciate any thoughts, resources, or experiences!
References:

• https://www.theengineeringprojects.com/2022/09/introduction-to-semiconductors.html
• https://iopscience.iop.org/article/10.1088/1361-6463/ab8f47/meta
• https://www.sciencedirect.com/science/article/pii/S1369702112700527

Thanks in advance!

 

[gentzen]

One way to model and measure the impact of thermal lattice vibrations for crystalline materials is the
https://en.wikipedia.org/wiki/Debye–Waller_factor (edit: there are better references than wikipedia for the measurements and empirical models, but I am too lazy at the moment)
It damps higher (spatial) frequency correlations (edit: maybe I should describe this differently, but I am too lazy at the moment), and thereby effectively reduces the range of the spatial crystal order. So the crystalline material behaves increasingly similar to a polycrystalline or amorphous material. But note that room temperature is often a quite low temperature from the perspective of insulating or semiconducting materials, so take this only as an indication of the trend.