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ECE 659 Quantum Transport: Atom to Transistor

By Supriyo Datta

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

 

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Abstract

image

Spring 2009

This is a newly produced version of the course that was
formerly available.
We would greatly appreciate your feedback regarding the new format and contents.

Traditionally atomistic approaches have been used to model
materials in terms of average parameters like the mobility or the diffusion coefficient
which are then used as inputs to macroscopic device models. This approach is still widely
used but it is not adequate to meet the challenges and opportunities afforded by the
development of nanotechnology that makes it possible to engineer materials and devices
on a length scale as small as several nanometers (atomic distances are ~ 0.2 nm). 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, assuming no prior background other than linear algebra.

Prerequisite: Matrix algebra, Familiarity with MATLAB (or equivalent) necessary for some homeworks and for take-home exam.

Course Information Website

Lecture notes prepared by Samiran Ganguly.

References

  • Quantum Transport: Atom to Transistor, Chapters 1, 4, 7.1, 8-11, Cambridge University Press (ISBN-13: 9780521631457, ISBN-10: 0521631459)
  • Nanoelectronics and the Meaning of Resistance, Lectures 1-5B (See lecture 38.0 for Lecture 5A)
  • Nanoelectronic Devices: A Unified View, to appear in The Oxford Handbook on Nanoscience and Nanotechnology: Frontiers and Advances, eds. A.V. Narlikar and Y.Y. Fu, volume 1, chapter 1, arxiv.org/abs/0809.4460v2
  • Nanodevices and Maxwell's Demon, Lecture Notes in Nanoscale Science and Technology, Vol. 2, Nanoscale Phenomena: Basic Science to Device Applications, Eds. Z.K. Tang and P. Sheng, Springer (2008), arxiv.org/abs/0704.1623
  • Influence of Dimensionality on Thermoelectric Device Performance, Raseong Kim, Supriyo Datta, Mark S. Lundstrom, arxiv.org/abs/0811.3632

Publications

  • Cover image

    Quantum Transport: Atom to Transistor

    by Supriyo Datta (Cambridge - July 11, 2005)

    This book presents a unique approach to the fundamentals of quantum transport, and is aimed at senior undergraduate and graduate students. Some of the most advanced concepts of non-equilibrium statistical mechanics are included and yet no prior acquaintance with quantum mechanics is assumed.

Cite this work

Researchers should cite this work as follows:

  • Supriyo Datta (2009), "ECE 659 Quantum Transport: Atom to Transistor," http://nanohub.org/resources/6172.

    BibTex | EndNote

Location

Purdue University, West Lafayette, IN

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Lecture Number/Topic Online Lecture Video Lecture Notes Supplemental Material Suggested Exercises
ECE 659 Lecture 1: Introduction View Lecture Notes
ECE 659 Lecture 2: Molecular, Ballistic and Diffusive Transport View Lecture Notes
Homework (Lectures 2-4)
ECE 659 Lecture 3: Mobility View Lecture Notes
ECE 659 Lecture 4: Landauer Model View Lecture Notes
ECE 659 Lecture 5: Where is the Resistance? View Lecture Notes
Homework (Lectures 5-12)
ECE 659 Lecture 6: Hall Effect I View Lecture Notes
ECE 659 Lecture 7: Hall Effect II View Lecture Notes
ECE 659 Lecture 8: Scattering Theory of Transport View Lecture Notes
ECE 659 Lecture 9: Landauer-Buttiker Formalism View Lecture Notes
ECE 659 Lecture 10: Two-Probe/Four-Probe View Lecture Notes
ECE 659 Lecture 11: Semiclassical Dynamics View Lecture Notes
ECE 659 Lecture 12: Cyclotron Frequency View Lecture Notes
ECE 659 Lecture 13: Differential Matrix Equation View Lecture Notes
Homework (Lectures 13-19)
ECE 659 Lecture 14: Coherent Transport I View Lecture Notes
ECE 659 Lecture 15: Coherent Transport II View Lecture Notes
ECE 659 Lecture 16: Correlation Function/Current View Lecture Notes
ECE 659 Lecture 17: Non-Coherent Transport View Lecture Notes
ECE 659 Lecture 18: NEGF Equations View Lecture Notes
ECE 659 Lecture 19: Self Energy View Lecture Notes
ECE 659 Lecture 20: Summary (Lectures 1-19) View Lecture Notes
ECE 659 Lecture 21: Conductance Quantization View Lecture Notes
Homework (Lecture 21)
ECE 659 Lecture 22: Basis Transformation View Lecture Notes
Homework (Lectures 22-23)
ECE 659 Lecture 23: Transverse Modes View Lecture Notes
ECE 659 S09 Exam 1 (Practice) Exam 1 (Practice)
Exam Solution
ECE 659 S09 Exam 1 (Midterm) Exam 1
Exam Solution
ECE 659 Lecture 24: Spin View Lecture Notes
Homework (Lectures 24-31)
ECE 659 Lecture 25: Spin Matricies I View Lecture Notes
ECE 659 Lecture 26: Spin Matricies II View Lecture Notes
ECE 659 Lecture 27: Spin-Orbit Interaction I View Lecture Notes
ECE 659 Lecture 28: Spin-Orbit Interaction II View Lecture Notes
ECE 659 Lecture 29: Hamiltonian Including Spin View Lecture Notes
ECE 659 Lecture 30: Spin Density/Current View Lecture Notes
ECE 659 Lecture 31: Spin Current/Torque View Lecture Notes
ECE 659 Lecture 32: Spin Torque/Psuedo-Spin View Lecture Notes
Homework (Lectures 32-37)
ECE 659 S09 Exam 2 (Take Home) Exam 2
Exam Solution (MATLAB)
ECE 659 Lecture 33: Thermoelectricity View Lecture Notes
ECE 659 Lecture 34: Second Law View Lecture Notes
ECE 659 Lecture 35: Entropy View Lecture Notes
ECE 659 Lecture 36: Law of Equilibrium View Lecture Notes
ECE 659 Lecture 37: Inelastic Transport View Lecture Notes
ECE 659 Lecture 38.0: Correlations and Entanglement View Lecture Handout
Homework (Lectures 38-39)
ECE 659 Lecture 38: Singlet/Triplet States I View Lecture Notes
ECE 659 Lecture 39: Singlet/Triplet States II View Lecture Notes
ECE 659 Lecture 40: Correlated Transport View Lecture Notes
ECE 659 Lecture 41: Exchange Interaction View Lecture Notes
ECE 659 Lecture 42: Summing Up View Lecture Notes
ECE 659 S09 Final Exam (Practice) Final Exam (Practice)
Exam Solution
ECE 659 S09 Final Exam Final Exam
Exam Solution
Exam Notes

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