Solid State Devices 1

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Week 1:

  • Solid State Devices Introduction
  • Semiconductor Materials
  • Applications of Elemental and Compound Semiconductors
  • Atomic Positions and Bond Orientation
  • Crystals
  • Bravais Lattice
  • Surfaces, Miller Index

Week 2:

  • Elements of Quantum Mechanics
  • Classic Systems
  • Why D We Need Quantum Mechanics?
  • Formulation of Schrodinger's Equation
  • Analytical Solutions to Free and Bound Electrons​
  • Electrons in a Finite Potential Well

Week 3:

  • Electron Tunneling – Emergence of Bandstructure ​
  • Transfer Matrix Method
  • Tunneling through Barriers
  • Bandstructure – in 1D Periodic Potentials

Week 4:

  • Brillouin Zone and Reciprocal Lattice​
  • Constant Energy Surfaces & Density of States​
  • Bandstructure in Real Materials (Si, Ge, GaAs)​
  • E(k) Diagrams in Specific Crystal Directions
  • Constant Energy Surfaces
  • Density of State Effective Mass

Week 5:

  • Bandstructure Measurements​
  • Occupation of States​
  • Fermi-Dirac Statistics: Three Techniques
  • Intrinsic Carrier Concentration
  • Band Diagrams

Week 6:

  • Doping
  • Donors and Acceptors
  • Temperature Dependence
  • Introduction to Non-Equilibrium
  • Steady State, Transient, Equilibrium

Week 7:

  • Recombination & Generation
  • R-G Formula
  • SRH Formula
  • Direct and Auger Recombination
  • Nature of Interface States

Week 8:

  • Intro to Transport - Drift, Mobility, Diffusion, Einstein Relationship
  • Drift Current
  • Mobility
  • Hall Effect
  • Semiconductor Equations
  • Continuity Equations
  • Analytical Solutions
  • Numerical Solutions

Week 9:

  • Introduction to PN Junctions
  • PN Diode I-V Characteristics

Week 10:

  • PN Diode AC Response
  • PN Diode Large Signal Response
  • Schottky Diode

Week 11:

  • MOS Electrostatics & MOScap
  • Q-V Characteristics
  • MOS Capacitor Signal Response
  • MOSFET Introduction

Week 12:

  • MOSFET Non-Idealities
  • Flat Band Voltage
  • Modern MOSFET
  • Moore's Law Challenges
  • Short Channel Effect
  • Mobility Enhancement

Week 13:

  • Bipolar Junction Transistor - Fundamentals
  • Band Diagrams in Equilibrium
  • Currents in BJTs
  • Ebers Moll Model

Week 14:

  • Bipolar Junction Transistor - Design
  • Current Gain
  • Base Doping Design
  • Collector Doping (Kirk Effect, Base Pushout)
  • Emitter Doping Design
  • Poly-Si Emitter
  • Shoe Base Transport
  • Bipolar Junction Transistor – High Frequency Response

Week 15

  • Heterojunction Bipolar Transistor
  • Applications, Concept, Innovation, Nobel Prize
  • Types of Heterojunctions,: Abrupt, Graded, Double
  • Modern Designs

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