Given two energy level diagrams for a compensated conductor:

At $0~\text{K}$

Zero Kelvin

At $500~\text{K}$


I want to determine for which diagram is the Fermi level closest/farthest from $E_i$. It's a compensated semiconductor so it behaves almost intrinsically. And since $E_F-E_i=kT\ln(n/n_i)$ it means that when $T=0$ we get $E_F=E_i$ and when $T>0$ then $E_F \neq E_i$. In other words at $T=0$ the Fermi level is closest from $E_i$ and at $T=500$ it's the farthest. However according to the answers it's the other way around. Why is that?


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