- #1

tjny699

- 10

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Hello,

Chemistry grad student here about to start a physics-y project...so trying to learn about condensed matter physics.

I get how screening works when you add a single charge to a gas of electrons, but what happens in a metal when you have a whole lattice, ie, a background charge density? Specifically, say the background charge density is

[tex] n(x)=n_0+\delta n e^{-A*|x|} [/tex]

where [tex]\delta n[/tex] is small.

I've tried applying the Thomas-Fermi screening function (dielectric) and using a linear response approximation but can't get a sensible result when I try to calculate the self-consistent potential, distribution of electron charge, and electric field for x>>1/A

Does anyone know any references that contain a discussion of screening for background distributions that aren't just point particles?

Any help or suggestions would be great!

Chemistry grad student here about to start a physics-y project...so trying to learn about condensed matter physics.

I get how screening works when you add a single charge to a gas of electrons, but what happens in a metal when you have a whole lattice, ie, a background charge density? Specifically, say the background charge density is

[tex] n(x)=n_0+\delta n e^{-A*|x|} [/tex]

where [tex]\delta n[/tex] is small.

I've tried applying the Thomas-Fermi screening function (dielectric) and using a linear response approximation but can't get a sensible result when I try to calculate the self-consistent potential, distribution of electron charge, and electric field for x>>1/A

Does anyone know any references that contain a discussion of screening for background distributions that aren't just point particles?

Any help or suggestions would be great!

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