3/27/2015PHY 752 Spring 2015 -- Lecture 251 PHY 752 Solid State Physics 11-11:50 AM MWF Olin 107 Plan for Lecture 25:  Chap. 18 & 19 in Marder  Impurity.

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Presentation transcript:

3/27/2015PHY 752 Spring Lecture 251 PHY 752 Solid State Physics 11-11:50 AM MWF Olin 107 Plan for Lecture 25:  Chap. 18 & 19 in Marder  Impurity states  Properties of semiconductors Some of the lecture materials are from slides prepared by Marder

3/27/2015PHY 752 Spring Lecture 252

3/27/2015PHY 752 Spring Lecture 253 Impurity states due to point defects

3/27/2015PHY 752 Spring Lecture 254 Impurity states due to point defects -- continued

3/27/2015PHY 752 Spring Lecture 255 Impurity states due to point defects -- continued Dielectric constant valence charge of impurity relative to that of host lattice

3/27/2015PHY 752 Spring Lecture 256 Impurity states due to point defects -- continued

3/27/2015PHY 752 Spring Lecture 257 Semiconductor properties Population of electrons (n) and holes (p) in a pure semiconductor 

3/27/2015PHY 752 Spring Lecture 258 Semiconductor properties -- continued For:

3/27/2015PHY 752 Spring Lecture 259 Semiconductor properties -- continued multiplicity of conduction band minima

3/27/2015PHY 752 Spring Lecture 2510 Semiconductor properties -- continued For intrinsic semiconductor, n=p=n i

3/27/2015PHY 752 Spring Lecture 2511 Semiconductor properties -- continued Effects of impurities: Intrinsic carriers:

3/27/2015PHY 752 Spring Lecture 2512 Semiconductor properties – continued Typically, the ionized impurities dominate the carrier concentrations

3/27/2015PHY 752 Spring Lecture 2513 Semiconductor properties – continued For primarily donor doping: For primarily acceptor doping:

3/27/2015PHY 752 Spring Lecture 2514 Semiconductor junction Before equilibration After equilibration Junction potential

3/27/2015PHY 752 Spring Lecture 2515 Semiconductor junction

3/27/2015PHY 752 Spring Lecture 2516 Semiconductor junction

3/27/2015PHY 752 Spring Lecture 2517 Simplified model: Semiconductor junction

3/27/2015PHY 752 Spring Lecture 2518 Semiconductor junction

3/27/2015PHY 752 Spring Lecture 2519 Behavior of ideal diode

3/27/2015PHY 752 Spring Lecture 2520 Behavior of ideal diode – continued Diffusion of electrons and holes: