Fundamentals of Nanoelectronics
Learning Objective:A student who successfully fulfills the course requirements will have demonstrated:
Ability to perform semiclassical analysis of charge flow in nanoelectronic devices. [1,2]
Ability to perform semiclassical analysis of the interconversion of heat and electricity in nanoelectronic devices. [1,2]
Ability to perform quantum analysis of nanoelectronic devices. [1,2]
The modern smartphone is enabled by a billion-plus nano-transistors, each having an active region that is barely a few hundred atoms long. Interestingly the same amazing technology has also led to a deeper understanding of the nature of current flow on an atomic scale. The aim of this course is to make the fundamentals of nanoelectronics accessible to anyone in any branch of science or engineering, assuming very little background beyond linear algebra and differential equations, although we will be discussing advanced concepts in non-equilibrium statistical mechanics that should be of interest even to specialists. We first introduce a new perspective connecting the quantized conductance of short ballistic conductors to the familiar Ohm???s law of long diffusive conductors, along with a brief description of the modern nano-transistor. We then address fundamental conceptual issues related to the meaning of resistance on an atomic scale, the interconversion of electricity and heat, the second law of thermodynamics and the fuel value of information. Finally we introduce the concepts of quantum transport as applied to modern nanoscale electronic devices.
Topics Covered:Lecture Outline:
Week(s) Major Topics
1-2 The new Ohm's law From Ballistic to diffusive conductors
3-4 Conductance quantization, density of states and density of modes, the nanotransistor
5-6 What and where is the resistance?
7-9 Thermoelectricity, Second Law, fuel value of information
12-14 Quantum transport: NEGF
15 Future Directions
Prerequisites:MA 26600 & MA 26500 or MA 26200; Familiarity with matrix algebra, MATLAB, Elementary differential equations.
Applied / Theory:50 / 50
Exams:Eight exams, no final
Textbooks:Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.
Required Text(s): Lessons from Nanoelectronics, S. Datta, World Scientific, 2012, ISBN No. 978-981-4335-29-4. Recommended Text(s): MatLab: Student Version, Current Edition Edition, The MathWorks, Inc.. Quantum Transport: Atom to Transistor, S. Datta, Cambridge University Press, 2005, ISBN No. 0-521-63145-9.