syllabus
Table of Contents
Syllabus
- 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
- Landauer formalism
- Quantum to classical crossover
- Transmission probabilities
- Resonant tunneling
- Incoherent scattering
- Localization
- Transport in magnetic field - topological phenomena
- Vector potential and electron phase
- Examples: AB effect & QHE
- Tunneling
- WKB approx & STM
- Fermi golden rule
- Coulomb blockade (class project)
- Superconductivity
- Meissner effect, flux quantization, length scales
- BCS theory
- High temperature superconductors
Other
- Metal-Insulator transition
- Difference between Mott insulator and Anderson localization
- Thomas-Fermi screening
- Other oscillatory B-field effects (Shubnikov-de Haas, de Haas-van Alphen, etc)
- Coulomb blockade
Web and other resources
- Janet's PH575 class and see the “Links” page there.
- Fundamental constants from NIST (2014 CODATA recommended values)
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
Disorder
AB effect
QHE
- Schwarzchild PT 1985 Nobel article
- Avron PT 2003 - Physics Today Article on the QHE
- Macdonald's article on the integer QHE and other QHEs phenomena is at quite a high level, but worth looking at because it addresses many of the complexities. Note p197 is misplaced in this version.
- The Marcus group theses have many studies of the QHE and other mesoscopic systems. In particular, I found McClure's thesis helpful.
Tunneling
- Review of magnetic tunnel junctions
- Review of scanning tunneling microscopy with particular reference to Fe-based superconductors by J. Hoffman, Harvard.
Superconductivity
- Superconductivity at 203K (under pressure) in HS system: http://www.nature.com/nature/journal/v525/n7567/full/nature14964.html
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.txt · Last modified: 2020/03/06 09:14 by 127.0.0.1