P306 (Introduction to Condensed Matter Physics)
42 Lectures + 14 Tutorials
Outcome of the Course
This course teaches the students advanced concepts and methods in mesoscopic physics, with the aim to build their background for future research work in this area.
- Effects of magnetic fields: TheAharonov Bohm effect; 2D electron gas; Landau levels; Transverse modes in 2D quantum wire; Shubnikovde Haas oscillations; Magnetic edge states; integer Quantum Hall effect, Fractional Quantum Hall effect
- Electron transport: Boltzmann semiclassical transport; Onsager reciprocity relations; Conventional Hall effect; Drude conductivity; Einstein relation; Electronic states in quantum confined systems; Conductance from transmission; Ballistic transport; Quantum of conductance; Landauer formula; Quantum point contact; T-matrices; S-matrix and green functions; Current operator; Landauer Buttiker formalism; Linear response and Kubo formula; nonequilib- rium green’s function approach to transport; Scattering: Breit Wigner resonance and Fano resonance; Delay time for resonances; Friedel sum rule; Levin- son.s theorem; Singleelectron tunneling: Coulomb blockade and Kondoeffect
- Quantum information: Josephson Junctions and Cubits; Metastable states and escapedynamics
- Disordered conductors: Weak localization; Mesoscopic fluctuations; Random Matrices; Anderson localization; Quantum Chaos; Dephasing; Decoherence
- Electronic Transport in Mesoscopic Systems by S. Datta, Cambridge University press.
- Introduction to Mesoscopic Physics by Y. Imry
- Mesoscopic Electronics in Solid State Nanostructures by T. Heinzel
- Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations by P. Mello and N. Kumar