Condensed Matter Physics
Condensed matter physics originates from solid state physics in 1950’s and evolves into a subject which focuses on collective behavior, symmetry, and topological states. Over the past century, this sub-field of physics has grown with many various ramifications that any offered perspective would always be partial and biased. Nevertheless, I would like to limit this class to the introduction level, and give a broad description of the field. For a few topics, I will try to demonstrate how to evolve from fundamental concepts to perspectives of advanced topics.
This is a class designed for beginner students who would pursue a Ph.D. in fields related to physics, materials science, device engineering, and chemistry. The course focuses on three major concepts of lattice, electrons, and spins, and surveys the topics generated by interactions between them. During the weekly four-hour lecture time, I will try to split the time with half on theory and half on experimental demonstration of those theoretical concepts.
(Separated into two-hour lecture each)
- Crystals and Symmetry
- Inelastic probes
- Order and disorder
- Phase transitions and Landau’s theory
- Band structure
- Fermi surface probes
- Electronic excitations in metals
- Electrical transport and galvanomagnetic phenomena
- Quantum Hall and fractional quantum Hall
- Superconductivity: BCS
- Superconductivity: Quasi-particle gap
- Superconductivity: GL
- Josephson tunnelling
- Josephson devices
- Parity sensitive probes.
- Odd parity superconductivity
- Magnetic interactions
- Metal-insulator transition
- WKB and spin-tunneling
- Itinerant magnetism
- Spin excitations, spin waves, and magnons
- Spin glass, spin ice, and spin liquids
- Quantum phase transitions
- Experimental study of dynamical exponent
Homework (4-5) 70%, final presentation, 30%.
Ashcroft & Mermin, Solid State Physics (1976).
M. Tinkham, Introduction to Superconductivity (1996).
Chaikin & Lubensky, Principles of Condensed Matter Physics (1995).
D. Pines, Elementary Excitations in Solids (1963).
L. P. Levy, Magnetism and Superconductivity (1997). - no longer available
S.K. Ma, Modern Theory of Critical Phenomena (1976).
Students are suggested to have basic (undergraduate) understanding of quantum mechanics and statistics.