6.Transport

6.Transport - 1 Carrier transport Sections 5.1, 5.2, 5.4,...

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1 Carrier transport Carrier transport Sections 5.1, 5.2, 5.4, 5.4.1, 5.5 of course text: 1. Boltzmann Transport Equation 2. Continuity equations 3. Drift-Diffusion Equation 4. Drift current 5. Diffusion current
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2 Boltzmann Boltzmann Transport Equation Transport Equation • This famous equation describes how an electron moves in 6-D phase space. •Cons ider±2-D± (x and k x ) and some force F x • Electron moves a distance v x tin ±t ime± t • Electron changes momentum according to • i.e., transport between position states is taken to be classical • Transport between momentum states can be classical and quantum mechanical
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3 Method of moments Method of moments • The BTE solves for f , the non-equilibrium distribution function • This is very difficult to do. • We use the Method of Moments to solve for properties related to f • Specifically, charge and current density • The BTE becomes a general balance equation What does each term mean physically?
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6.Transport - 1 Carrier transport Sections 5.1, 5.2, 5.4,...

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