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Solid state physics
lectures
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1698b594
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1698b594
authored
5 years ago
by
Anton Akhmerov
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reword the algorithm to make it clearer
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@@ -168,10 +168,11 @@ $$ g(E_h) = (2m_h)^{3/2}\sqrt{E_h}/2\pi^2\hbar^3$$
**The key algorithm of describing the state of a semiconductor:**
1.
Write down the density of states, assuming a certain position of the Fermi level
2.
Calculate the total amount of electrons and holes, equate the difference to the total amount of electrons $-$ holes available.
3.
Use physics intuition to simplify the equations (this is important!)
4.
Find $E_F$ and concentrations of electrons and holes
1.
Compute the density of states of all types of particles.
2.
Calculate the total amount of electrons and holes, assuming a certain value of $E_F$
3.
Write down the charge balance condition: the difference between electrons and holes should equal to the total charge of the semiconductor.
4.
Apply approximations to simplify the equations (this is important!).
5.
Find $E_F$ and concentrations of electrons and holes
Applying the algorithm:
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