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Course Outline

Introduction

  • Overview of semiconductors.

Materials Properties and Doping

  • Transition from energy levels to energy bands.
  • Crystalline, polycrystalline, and amorphous semiconductors.
  • Miller indices.
  • Properties of common semiconductors.
  • Free carriers in semiconductors.

Rudiments of Quantum Mechanics

  • Understanding the wave equation.
  • Quantum confinement.
  • Quantum tunneling and reflection.
  • Electron waves in crystals.
  • Density of states.

Equilibrium Carrier Concentration

  • Understanding the Fermi function.
  • Fermi-Dirac integrals.
  • Relationship between Fermi level and carrier concentration.
  • Relationship between doping density and carrier concentration.
  • Relationship between temperature and carrier concentration.

Carrier Transport, Generation, and Recombination

  • Understanding the Landauer approach.
  • Current flow from nanoscale to macroscale.
  • Drift-diffusion equation.
  • Carrier recombination and generation processes.

The Semiconductor Equations

  • Understanding mathematical formulation.
  • Energy band diagrams.
  • Quasi-Fermi levels.
  • Minority carrier diffusion equation.

Summary and Next Steps

Requirements

  • Proficiency in Physics, Chemistry, and Mathematics.
  • Prior knowledge of semiconductors.
  • Understanding of basic differential equations.

Audience

  • Electrical engineers.
  • Anyone interested in semiconductors.
 35 Hours

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