ECE65900 - Quantum TransportSpring 2016
Days/Time: TBD / TBD
Credit Hours: 3
To convey the basic concepts of quantum mechanics and statistical mechanics with special emphasis on non-equilibrium problems involving nanoscale current flow to graduate students with little or no background in these subjects.
The development of nanotechnology has made it possible to engineer materials and devices on a length scale as small as several nanometers (atomic distances are ~ 0.2 nm). To meet the resulting challenges and opportunities, an integrated approach is needed that embeds modern atomistic thinking directly into the models used for non-equilibrium systems like nanoscale transistors, energy conversion devices and bio-sensors. This requires not just quantum mechanics, but also an appreciation of some of the most advanced concepts of non-equilibrium statistical mechanics, together with the valuable insights obtained from recent developments in mesoscopic physics. Our aim is to condense the central concepts into a one-semester course that is designed for graduate students familiar with differential equations and linear algebra, but having no significant acquaintance with either quantum mechanics or statistical mechanics.
(1) Semiclassical transport (weeks 1-4), HW 1, 2, due Fri.1/21, 2/4(2) Quantum transport (weeks 5-8), HW 3-5, due Fri. 2/11, 2/25, 3/5(3) Spin transport (weeks 9-12), HW 6-7, due Fri. 3/25, 4/8(4) Strongly correlated transport (weeks 13-15), HW 8, due Wed. 4/27
Matrix algebra, Familiarity with MATLAB (or equivalent) necessary for some homeworks and for take-home exam.
Syllabus, Grades, Lecture Notes, Homework Assignments, Solutions, Quizzes, Chat Room and Message Board
8 in all distributed through the semester. Homework accepted via Blackboard.
1 Midterm Exam, 1 Take-Home Exam, and 1 Final Exam.
1. QTAT: S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005), ISBN 0-521-63145-9. 2. LNE: S.Datta, "Lessons from Nanoelectronics," World Scientific, (2011) to be published. Excerpts will be posted on "Blackboard." Additional references will be posted along with Homeworks/solutions on ?Blackboard? which are very important in mastering the material.
ProEd Minimum Computer Requirements, and students should have access to MATLAB or equivalent.
ProEd Minimum Requirements: view
Tuition & Fees: view
Grades: 8 HOME WORKS (20%); MIDTERM EXAM (30%); TAKE-HOME EXAM (MATLAB-based - 20%); FINAL EXAM (Cumulative - 30%)