What is the physical meaning of the Thomas-Fermi vector?

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SUMMARY

The Thomas-Fermi wavevector is crucial for understanding the screening effect in metals, specifically the damping of electric fields due to carrier buildup around impurities. It is defined as the reciprocal of the characteristic length scale, which is approximately ##2\pi/k_0##, where ##k_0## is the Thomas-Fermi wavevector. This concept applies when the wavevector is significantly smaller than the Fermi wavevector, aligning with the long-distance limit of the Lindhard formula. For a deeper understanding, consulting the book "Solid State Physics" by Ashcroft and Mermin is recommended.

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  • Understanding of Thomas-Fermi screening theory
  • Familiarity with Fermi wavevector concepts
  • Basic knowledge of electric field interactions in metals
  • Access to "Solid State Physics" by Ashcroft and Mermin
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  • Study the derivation of the Lindhard formula in solid-state physics
  • Explore the implications of screening in semiconductor physics
  • Investigate the role of impurities in metal conductivity
  • Review the mathematical formulation of the Thomas-Fermi model
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Physicists, materials scientists, and electrical engineers interested in solid-state physics, particularly those studying screening effects and carrier dynamics in metals.

rwooduk
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The Thomas-Fermi wavevector relates to the damping of an electric field caused by build up of carriers around an impurity (screening). But I can't understand it's physical meaning.

Wiki states "Thomas–Fermi screening is the limit of the Lindhard formula when the wavevector (the reciprocal of the length-scale of interest) is much smaller than the fermi wavevector, i.e. the long-distance limit."

So it applies when the wave vector is much smaller than the fermi wavevector, but I'm trying to visualise a physical meaning of what the Thomas-Fermi wavevector actually is.

Any ideas would really be appreciated.
 
I suppose with "wiki" you don't mean "wiki, the viking" but are referring to this entry in wikipedia:
http://en.wikipedia.org/wiki/Thomas–Fermi_screening
Did you check already the source cited, i.e. the book by Ashcroft and Mermin?
You probably would generate more answers if you wouldn't leave it to the readers to figure out what you may talk about.

Basically, ##2\pi/k_0## is the characteristic length over which a static perturbation is screened in a metal.
 
DrDu said:
I suppose with "wiki" you don't mean "wiki, the viking" but are referring to this entry in wikipedia:
http://en.wikipedia.org/wiki/Thomas–Fermi_screening
Did you check already the source cited, i.e. the book by Ashcroft and Mermin?
You probably would generate more answers if you wouldn't leave it to the readers to figure out what you may talk about.

Basically, ##2\pi/k_0## is the characteristic length over which a static perturbation is screened in a metal.

Lol, I remember that show, ey, hey, Wickie hey, Wickie, hey!

Anyhow thanks for the tip, I managed to find a copy of the book and read the section on the wavevector and the following underlined parts I guess are physical interpretations, aside from these its mostly derivation.

oGMa0pk.jpg
 

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