07_Band+bending+_+diffusion

07_Band+bending+_+diffusion - Band Bending Diffusion...

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EECS-320, L.J. Guo 1 Band Bending, Diffusion, Einstein Relationship How to represent Kinetic and Potential energy of electrons and holes How to represent E-field in band diagram? What is diffusion current? (no E-field needed) Einstein relationship Quasi-Fermi level and non-equilibrium Current expressed in terms of quasi-Fermi levels
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EECS-320, L.J. Guo Kinetic Energy and Band diagram 2 Potential energy should always have a reference energy level
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EECS-320, L.J. Guo Band Bending and E-field How to represent potential energy in band diagram? 111 f CV dE dE dE dV dx q dx q dx q dx =− = = = E Relate electrostatic potential to conduction band edge: *2 1 2 Ct h K E Em v E −= = Potential energy: P.E. = E C -E ref Potential energy of an electron in the presence of an electrostatic potential V P.E. = -qV = E C ref 1 () Cr e f VE E q E-field represents the slope of band edges 3
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EECS-320, L.J. Guo Band Bending 4
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EECS-320, L.J. Guo Diffusion Carriers flow from high to low concentration Electron diffusion Equilibrium 5
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EECS-320, L.J. Guo
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07_Band+bending+_+diffusion - Band Bending Diffusion...

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