I am reading a book and I'm trying to understand the concept of quasi Fermi levels.
For example,
A steady state of Electron Hole pairs are created at the rate of $10^{13}\ \mathrm{cm}^{-3}$ per $\mu$s in a sample of silicon.
The equilibrium concentration of electrons in the sample is $n_0 = 10^{14}\ \mathrm{cm}^{-3}$.
Also, it gives $\tau_n = \tau_p = 2\ \mu\mathrm{s}$. I am not sure what this is but I think this is the average recombination time.
The result is that the new levels of carrier concentrations (under the described steady state) are
$n = 2.0 \times 10^{14}$ ($n_0 = 1.0 \times 10^{14}$)
$p = 2.0 \times 10^{14}$ ($p_0 = 2.25 \times 10^6$)
I follow until here but I get a bit confused after this.
The book goes onto say that this results in two different virtual Fermi levels which are at:
$F_n-E_i = 0.233\ \mathrm{eV}$
$E_i-F_p = 0.186\ \mathrm{eV}$
The equilibrium fermi level ($E_F$) being at $E_F-E_i=0.228\ \mathrm{eV}$
My question:
- Why are there two different quasi fermi levels now created?
- Why do we not consider two different ones at equilibrium conditions?
- Why is it that due to a steady state input of electron hole pairs that we now consider two quasi Fermi levels?
- What is the relevance of these new quasi fermi levels?
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