Undergrad What is the relation between scattering and mobility in solid state physics?

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SUMMARY

The relationship between scattering and mobility in solid state physics is defined by the concept of scattering time, which determines how long charge carriers are accelerated by an electric field before colliding with obstacles that alter their trajectory or energy. Mobility is directly influenced by this scattering time, alongside the effective mass of the carriers. Key sources of scattering in semiconductor materials include ionized impurity scattering and acoustic phonon scattering, with additional factors such as neutral impurity scattering, optical phonon scattering, surface scattering, and defect scattering also playing significant roles.

PREREQUISITES
  • Understanding of electron mobility in solid state physics
  • Familiarity with scattering mechanisms in semiconductors
  • Knowledge of effective mass in charge carriers
  • Basic concepts of drift velocity and electric fields
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  • Research "scattering time in semiconductors" for deeper insights
  • Explore "ionized impurity scattering" and its effects on mobility
  • Study "acoustic phonon scattering" and its role in semiconductor performance
  • Investigate "defect scattering" and its implications for material properties
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Physicists, materials scientists, and electrical engineers interested in the behavior of charge carriers in semiconductor materials and their impact on device performance.

struggling_student
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I came across the term scattering time in Simon's "The Oxford Solid State Physics".

Apparently it's supposed to be obvious because I can't find a definition anywhere but what is it? Why is so much stuff left undefined in solid state physics?
 
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This wiki article discusses it as well as other solid state terminology:

https://en.wikipedia.org/wiki/Elect...determining drift,its direction and/or energy.

Relation between scattering and mobility[edit]​

Recall that by definition, mobility is dependent on the drift velocity. The main factor determining drift velocity (other than effective mass) is scattering time, i.e. how long the carrier is ballistically accelerated by the electric field until it scatters (collides) with something that changes its direction and/or energy. The most important sources of scattering in typical semiconductor materials, discussed below, are ionized impurity scattering and acoustic phonon scattering (also called lattice scattering). In some cases other sources of scattering may be important, such as neutral impurity scattering, optical phonon scattering, surface scattering, and defect scattering.[12]
 

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