NearEquilibrium Transport: Fundamentals and Applications
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Abstract
Engineers and scientists working on electronic materials and devices need a working knowledge of "nearequilibrium" (also called "linear" or "lowfield") transport. The term "working knowledge" means understanding how to use theory in practice. Measurements of resistivity, conductivity, mobility, thermoelectric parameters as well as Hall effect measurements are commonly used to characterize electronic materials. Thermoelectric effects are the basis for important devices, and devices like transistors, which operate far from equilibrium, invariably contain loweld regions (e.g. the source and drain) that can limit device performance. These lectures are an introduction to nearequilibrium carrier transport using a novel, bottom up approach as developed by my colleague, Supriyo Datta. This approach is more rigorous than the Drude approach  and often more physically insightful and less mathematically involved than approaches based on the Boltzmann Transport Equation. It also works for nanoscale as well as for micro and macroscale devices. Using this approach, these lectures will introduce the essential principles of nearequilibrium transport theory needed by scientists and engineers working on electronic materials and devices.
These lectures complement a set of lectures notes published by World Scientific, "NearEquilibrium Transport: Fundamentals and Applications" which is part of the "Lessons from Nanoscience: A Lecture Note Series."
Sponsored by
"Electronics from the Bottom Up" is an educational initiative designed to bring a new perspective to the field of nano device engineering. It is cosponsored by the Intel Foundation and the Network for Computational Nanotechnology.
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Location
Burton Morgan 121, Purdue University, West Lafayette, IN
Tags
Lecture Number/Topic  Online Lecture  Video  Lecture Notes  Supplemental Material  Suggested Exercises 

Lecture 1: Introduction to Nearequilibrium Transport  View HTML View Flash 
View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

A short overview of the topics to be discussed in the following nine
lectures in this short course on nearequilibrium transport. 

Lecture 2: General Model for Transport  View HTML View Flash 
View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

Datta's model of a nanodevice is introduced as a general way of describing nanodevices as well, as bulk metals and semiconductors. 

Lecture 3: ResistanceBallistic to Diffusive  View HTML View Flash 
View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

The resistance of a ballistic conductor and concepts, such as the quantum
contact resistance, are introduced and discussed. The results are then
generalized to treat transport all the way from... 

Lecture 4: Thermoelectric EffectsPhysical Approach  View HTML View Flash 
View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

The effect of temperature gradients on current flow and how electrical currents produce heat currents are discussed. 

Lecture 5: Thermoelectric Effects  Mathematics  View HTML View Flash 
View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

Beginning with the general model for transport, we mathematically derive
expressions for the four thermoelectric transport coefficients:
(i) Electrical conductivity,
(ii) Seebeck coefficient... 

Lecture 6: An Introduction to Scattering  View Flash  View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

In this lecture, we show how the meanfreepath (mfp) is related to the
time between scattering events and briefly discuss how the scattering
time is related to underlying physical processes. 

Lecture 7: The Boltzmann Transport Equation  View Flash  View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

Semiclassical carrier transport is traditionally described by the
Boltzmann Transport Equation (BTE). In this lecture, we present the
BTE, show how it is solved, and relate it to the Landauer... 

Lecture 8: Measurements  View Flash  View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

A brief introduction to commonlyused techniques, such as van der Pauw and Hall effect measurements. 

Lecture 9: Introduction to Phonon Transport  View Flash  View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

This lecture is an introduction to phonon transport. Key similarities and differences between electron and phonon transport are discussed. 

Lecture 10: Case studyNearequilibrium Transport in Graphene  View Flash  View  Notes (pdf?665be8d91fbabd4802790f93bd713ee3=1)  YouTube 

Nearequilibrium transport in graphene as an example of how to apply the concepts in lectures 18. 