syllabus
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Table of Contents
Syllabus
(This is too long, and will be shortened as we go along)
- Fundamentals of band structure
- Free electron gas
- Bloch theorem
- Boltzmann transport equation
- motion in constant E field → Drude result
- diffusion
- phonon scattering mechanism
- Quantum transport
- elastic vs inelastic scattering
- 1d wire no scattering (nano module?)
- Landauer formalism
- Quantum to classical crossover
- Transmission probabilities
- Resonant tunneling
- Incoherent scattering
- Transport in magnetic field - topological phenomena
- Vector potential and electron phase
- Example: AB effect
- QHE
- Localization
- Anderson localization in different dimensions
- Testing with B-field
- Tunneling
- WKB approx & STM (nano module?)
- Fermi golden rule
- Coulomb blockade (nano module?)
- Superconductivity
- Meissner effect, flux quantization, length scales
- BCS
- HTS
Other?
- Metal-Insulator transition
- Difference between Mott insulator and Anderson localization
- Thomas-Fermi screening
- Bohr radius overlap
Web and other resources
- Janet's PH575 class and see the “Links” page there.
Free electron gas
- Simulations from Cornell University. Drude model shows motion of 8 electrons in crossed E and B fields. Other useful ones are Bloch, Peierls, Ziman
- Good free electron summary.
Phonons
- Dispersion relations and animations of phonon modes in several different crystals. Also surface phonons.
- http://wolf.ifj.edu.pl/phonon/animation/, animations of phonon modes
- http://phet.colorado.edu/en/simulation/phet normal-modes, simulation of vibrational normal modes from PHET project
- Java applet with interactive features demonstrating acoustic and optic phonon modes of diatomic chain (requires java).
CNT Related Papers
- Carbon Nanotube Quantum Resistors http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.139.3328&rep=rep1&type=pdf
- I found this discussion of two conducting channels in carbon nanotubes helpful. -Dan
Thermal Transport
- W-F law (N.P. Ong, Princeton)
Semiconductors
- Chapter 8 of our Kittel text has the very basics you need to know.
- Nice compilation of semiconductor properties from the Ioffe Institute in Russia. meff, band gaps, for Si, GaAs and others.
- For II-VI (and other) semiconductors, see the page by D. W. Palmer
AB effect
Disorder
QHE
- Schwarzchild PT 1985 Nobel article
- Avron PT 2003 - Physics Today Article on the QHE
Journals
Free access (usually) from OSU domain. If not in OSU domain, access from the OSU Library page. If OSU does not subscribe, then request article via inter-library loan.
- Nature Physics
- Proceedings of the National Academy of Sciences (PNAS)
- Physical Review Letters
- Nano Letters
syllabus.1460425011.txt.gz · Last modified: 2020/03/06 09:14 (external edit)