Fundamentals of Current Flow

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Course
en
English
25 h
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More info
  • 5 Sequences
  • Advanced Level
  • Starts on August 20, 2023
  • Ends on September 24, 2023

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Course details

Syllabus

Week 1: The New Perspective

1.1 Introduction
1.2 Two Key Concepts
1.3 Why Electrons Flow
1.4 Conductance Formula
1.5 Ballistic (B) Conductance

Week 2: The New Perspective (Continued)

1.6 Diffusive (D) Conductance
1.7 Connecting B to D
1.8 Angular Averaging
1.9 Drude Formula
1.10 Summing Up

Week 3: Energy Band Model

2.1. Introduction
2.2. E(p) or E(k) Relation
2.3. Counting States
2.4. Density of States
2.5. Number of Modes

Week 4: Energy Band Model (Continued)

2.6. Electron Density (n)
2.7. Conductivity vs. n
2.8 - 2.9 Bonus Lectures; NOT covered on exams
2.10 Summing Up

Week 5: What and Where is the Voltage

3.1 Introduction
3.2 A New Boundary Condition
3.3 Quasi-Fermi Levels (QFL's)
3.4 Current from QFL's
3.5 Landauer Formulas
3.6 - 3.10 Bonus Lectures; NOT covered on exams

Epilog: Looking Forward-From Semiclassical to Quantum; Bonus Lectures; NOT covered on exams

Text: S. Datta, "Lessons from Nanoelectronics", Part A: Basic Concepts,
World Scientific, Second Edition 2017

The manuscript will be available for download on the course's website.

Prerequisite

Students in engineering or the physical sciences, knowledge of differential equations and linear algebra.

Instructors

Supriyo Datta
Thomas Duncan Distinguished Professor of Electrical and Computer Engineering, NAE member
Purdue University

Risi Jaiswal
PhD student
Purdue University

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