Module 6 : PHYSICS OF SEMICONDUCTOR DEVICES
Lecture 34 : Intrinsic Semiconductors
where $ f_h(E)= 1- f_e(E)$ is the Fermi function for the occupancy of holes which is the same as the probability that an electron state at energy $ E$ is unoccupied. For $ E_F-E\gg kT$, the density of holes is given by
 
$\displaystyle \boxed{p=\frac{1}{4}\left(\frac{2m_hkT}{\pi\hbar^2}\right)^{3/2} e^{(E_v-E_F)/kT}= N_ve^{(E_v-E_F)/kT}}\eqno (B)$
  where
 
$\displaystyle N_v = \frac{1}{4}\left(\frac{2m_hkT}{\pi\hbar^2}\right)^{3/2}$
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