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Chapter26_Carrier-Transport

# Chapter26_Carrier-Transport - 2.6 Carrier Transport 2.6.1...

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2.6 Carrier Transport 2.6.1 Carrier Drift Drift Current Mobility Resistivity Band Structure under Applied Field 2.6.2 Carrier Diffusion Diffusion Current 2.6.3 Total Current Equations 2.6.4 Einstein Relations Pierret, Chapter 3.1-3.2, page 75-104 Slides courtesy of Prof. Oliver Brand

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2 2.6.1 Carrier Drift Drift = Charged particle motion in response to an applied electric field Macroscopic Definition: Carriers of a given type (electrons or holes) move along at a constant velocity, the drift velocity, parallel or antiparallel to the applied electric field Drift Current Densities [A/cm 2 ]: J p,drift = q p v d,p J n,drift = q n v d,n
3 Carrier Drift For small electric fields, the drift velocity is proportional to the applied electric field with the mobility µ as proportionality factor: The mobility is the central parameter characterizing the carrier drift, resulting in the following current densities: v d,p = μ p ε v d,n = μ n ε J p,drift = q p μ p ε J n,drift = q n μ n ε J drift = J n + J p = q μ n n + μ p p [ ] ε

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4 Drift Velocity in Undoped Si at Room Temperature Pierret, Fig. 3.4
5 Carrier Mobility Definition of the carrier mobility [cm 2 /Vs]: Room-temperature mobility of Si and GaAs: μ p v d,p ε μ n ≡ − v d,n ε

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Chapter26_Carrier-Transport - 2.6 Carrier Transport 2.6.1...

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