I was going through this question: Why does the Fermi-level decrease with temperature increase?
As the temperature increases though the semiconductor becomes intrinsic where number of holes equals number of electrons, the number of carriers will still increase. In other words, the resistivity decreases as temperature increases as shown below.
The resistivity also decreases as doping level increases as shown below.
As the temperature increases, the fermi level moves down more below the conduction band for an n-type semiconductor as shown below.
I had thought that more closer the Fermi level is to the conduction band, the more conductive the semiconductor will be; in other words, less resistivity. I cannot still convince myself that why this is not true. If fermi level moves away from the conduction band, it means that 50% probability of finding an electron is quite below the conduction band and therefore it's more difficult for an electron to jump to the conduction band. Where am I having it wrong? Could you please help me?