E E 400
Contemporary topics at the advanced undergraduate elective level. Faculty presents advanced elective topics not included in the established curriculum.
Motivation for course: The feature size in transistors called the channel length, has decreased by about two orders of magnitude in the last thirty plus years. The channel length is less than 50 nm in commercially available devices today. The Semiconductor Industry Association expects the channel length to decrease to 10 nm in the next couple of decades. In addition to transistors, pn junction diodes, and bipolar junction transistors, devices with nanoscale feature sizes such as resonant tunneling diodes are also being used by the electronics industry.
This trend to reliably build nanoscale devices has made nanoelectronics a technology of today. This course deals with the knowledge base to explore nanoelectronic devices that include the transistor and beyond. Rather than focusing on applications, this course will focus on fundamentals and their application to understand the physics of nanodevices. The concepts learnt should be beneficial to students entering both grad school and industry.
Text book: Quantum Transport, Atom to Transistor Supriyo Datta Cambridge University Press Year 2005 ISBN-13 978-0-521-63145-7
Topic 1: An atomisitc view of electrical resistance (Chapter 1 of textbook) - Energy level diagram - What makes electrons flow? - The quantum of conductance - Potential Profile - Coulomb Blockade
Tapic 2: Schrodingerís equation (Chapter 2 of textbook) - Interpretation of wave function - Method of finite differences - Atom
Topic 3: Bandstructure (Chapter 5 of textbook) - Blochís theorem - Simple one dimensional solid - Carbon nanotubes
Topic 4: Subbands (Chapter 6 of textbook) - Quantum wells, wires, dots, and nanotubes - Density of states - Minimum wire of a wire - Velocity of a (sub)band electron
Topic 5: Quantum Capacitance and Quantum Inductance (Chapter 7 of textbook) - Electron Density - Quantum versus electrostatic capacitance - Quantum versus electrical inductance
Topic 6: Coherent Transport (Chapter 9 of textbook) - Overview - Transmission - Examples
Topic 7: Atom to transistor (Chapter 11 of textbook) - Physics of Ohmís law - Where is the heat dissipated - Where is the voltage drop?
Student learning goals
Provide a knowledge base to understand and explore nanoelectronic devices that are being actively pursued both by indstry and academia.
Use basic physics to calculate transport properties of nanoelectronic devices.
Learn basic quantum mechanics as applied to nanoelectronic devices.
Get an appreciation of how atoms in a solid lead to metals, insulators and semiconductors.
Did you know that there are new capacitive and inductive elements when devices get smaller? They are called quantum capacitance and quantum inductance. We will study these concepts.
Did you know the two terminal resistance of a wire with no scatterers is NOT zero? We'll see why.
General method of instruction
Power point slides, board, discussions.
There are no prerequisites for the course other than a basic knowledge of semiconductor devices as covered in EE 331. We will follow the text book closely.
Class assignments and grading
Homework: 35% Midterm: 25% Project: 40%