Physics of Semiconductors & Nanostructures Lecture 17: Heterostructures & Schottky (Cornell 2017)

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In the Schottkys junction case, Prof illustrated picture for p-type metal where Ef of metal was lower than valance band of Semi-con. I wonder, in case of n-type metal, do Ef of metal will be generally higher than Ef of Semi-con. ? So, electron is possible to move from metal to semi-con.