• Length:
    5 Weeks
  • Effort:
    8–9 hours per week
  • Price:

    FREE
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  • Institution
  • Subject:
  • Level:
    Advanced
  • Language:
    English
  • Video Transcript:
    English

Prerequisites

Undergraduate physics, chemistry, and mathematics including basic differential equations.

About this course

This course provides the essential foundations required to understand the operation of semiconductor devices such as transistors, diodes, solar cells, light-emitting devices, and more.

The material will primarily appeal to electrical engineering students whose interests are in applications of semiconductor devices in circuits and systems. However, any learner seeking an understanding of semiconductors from an electrical engineering perspective will benefit.

The intuitive, largely descriptive treatment provides a framework for understanding the operation of almost any semiconductor device, as well as a starting point on semiconductor physics for those who wish to dive deeper.

Among other important learning objectives, the course will guide learners through the process of drawing and interpreting energy band diagrams. Energy band diagrams are a powerful, conceptual way to qualitatively understand the operation of semiconductor devices. In a concise way, they encapsulate most of the device-relevant specifics of semiconductor physics. Drawing and interpreting an energy band diagram is the first step in understanding the operation of a device. This course material is typically covered in the first few weeks of an introductory semiconductor device course, but this class provides a fresh perspective informed by new understanding of electronics at the nanoscale. 

This course is part of a Purdue University initiative that aims to complement the expertise that students develop with the breadth at the edges needed  to work effectively in today's multidisciplinary environment. These serious, short courses require few prerequisites and provide a general framework that can be filled in with self-study when needed.

What you'll learn

Students will learn about the following specific topics:

·         bandgaps
·         band structures
·         effective masses
·         electrons and holes
·         the Fermi function
·         intrinsic carrier density
·         doping and carrier concentrations
·         carrier transport
·         generation-recombination
·         quasi-Fermi levels
·         the semiconductor equations
·         energy band diagrams

Learning how to draw and interpret energy band diagrams is the most important learning objective, because they encapsulate in a concise way most of the device-relevant specifics of semiconductor physics. Drawing and interpreting an energy band diagram is the first step in understanding operation of a device.
Week 1: Materials properties and doping
  • Energy levels to energy bands
  • Crystalline, polycrystalline, and amorphous semiconductors
  • Miller indices
  • Properties of common semiconductors
  • Free carriers in semiconductors
Week 2: Rudiments of quantum mechanics
  • The wave equation
  • Quantum confinement
  • Quantum tunneling and reflection
  • Electron waves in crystals
  • Density of states
Week 3: Equilibrium carrier concentration
  • The Fermi function
  • Fermi-Dirac integrals
  • Carrier concentration vs. Fermi level
  • Carrier concentration vs. doping density
  • Carrier concentration vs. temperature
Week 4: Carrier transport, generation, and recombination
  • The Landauer approach
  • Current from the nanoscale to the macroscale
  • Drift-diffusion equation
  • Carrier recombination
  • Carrier generation
Week 5: The semiconductor equations
  • Mathematical formulation
  • Energy band diagrams
  • Quasi-Fermi levels
  • Minority carrier diffusion equation

Meet your instructors

Mark S. Lundstrom
Don and Carol Scifres Distinguished Professor of Electrical and Computer Engineering
Purdue University
Bikram K. Mahajan
Teaching Assistant
Purdue University
Woojin Ahn
Teaching Assistant
Purdue University

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