lec_2.1 - ECE3080 Chapter 2.1 1 ECE 3080 Chapter 2.1 –...

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Unformatted text preview: ECE3080, Chapter 2.1 1 May 19, 2005 ECE 3080: Chapter 2.1 – Device Fundamentals O. Brand, 1 of 36 Chapter 2 – Semiconductor Device Physics Fundamentals 2.1 Band Structure 2.2 Carrier Statistic 2.3 Carrier Transport 2.4 Carrier Generation Literature: Pierret, Chapter 1-3, page 1-132 Sze, Chapter 1-3, page 1-83 Neamen, Chapter 2-6, page 24-231 May 19, 2005 ECE 3080: Chapter 2.1 – Device Fundamentals O. Brand, 2 of 36 2.1 Band Structure 2.1.0 Silicon and GaAs Crystal Structure 2.1.1 Introduction to Quantum Mechanics – Schrödinger Wave Equation – Electron in Potential Well & Hydrogen Atom 2.1.2 Semiconductor Models – Bonding vs Band Model – Simplified Semiconductor Band Model 2.1.3 Semiconductor Materials – Band Gap, Electron and Holes – Effective Mass 2.1.4 Semiconductor Doping – N-Type and P-Type Semiconductors Literature: Pierret, Chapter 2.1-2.3, page 23-40 Neamen, Chapter 2&3, page 24-102 Sze, Chapter 2.1-2.5, page 17-33 ECE3080, Chapter 2.1 2 May 19, 2005 ECE 3080: Chapter 2.1 – Device Fundamentals O. Brand, 3 of 36 2.1.0 Semiconductor Crystals Recall Si & GaAs Crystal Structure • What is the crystal structure? Si: GaAs: • How much are the two fcc (face-centered-cubic) sub- cells shifted to each other? • What is the size of the cubic cell? Si: GaAs: • How many next neighbors has one atom? Sze, Fig. 2.4 May 19, 2005 ECE 3080: Chapter 2.1 – Device Fundamentals O. Brand, 4 of 36 2.1.1 Introduction to Quantum Mechanics • Systems with atomic dimensions , such as the electrons in a semiconductor atom, are described by the quantum mechanics and not the classical “Newtonian” mechanics • The quantum (or wave) mechanics leads to the concept of quantized energy values for the electrons of an atom, necessary to explain e.g. the discrete spectral lines emitted by heated gases • The (time-dependent) Schrödinger wave equation describes the dynamic behavior of a single-particle system, e.g. the behavior of an electron in the potential of the hydrogen H + nucleus m is the particle mass, V the system’s potential energy and • The complex wave function Ψ = Ψ (x,y,z,t) describes the dynamic behavior of the particle in the potential V ! ! 2 2m " 2 # + V(x,y,z) # = i ! $# $ t i = " 1 Planck's constant: h = 2 ! ! = 6.62510 " 34 Js ECE3080, Chapter 2.1 2 May 19, 2005 ECE 3080: Chapter 2.1 – Device Fundamentals O. Brand, 3 of 36 2.1.0 Semiconductor Crystals Recall Si & GaAs Crystal Structure • What is the crystal structure? Si: GaAs: • How much are the two fcc (face-centered-cubic) sub- cells shifted to each other? • What is the size of the cubic cell? Si: GaAs: • How many next neighbors has one atom? Sze, Fig. 2.4 May 19, 2005 ECE 3080: Chapter 2.1 – Device Fundamentals O. Brand, 4 of 36 2.1.1 Introduction to Quantum Mechanics • Systems with atomic dimensions , such as the electrons in a semiconductor atom, are described by the quantum mechanics and not the classical “Newtonian” mechanics • The quantum (or wave) mechanics leads to the concept of...
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This note was uploaded on 08/28/2010 for the course ECE 3080 taught by Professor Staff during the Spring '08 term at Georgia Tech.

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lec_2.1 - ECE3080 Chapter 2.1 1 ECE 3080 Chapter 2.1 –...

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