Course Code

P451

Credit

8

Prerequisite

Total Hours

42 Lectures + 14 Tutorials

Outcome of the Course

This is a course which aims to prepare students with advanced concepts, techniques and knowledge of solid state physics that allows them to start working on basic research problems in the broad area of condensed matter theory, materials theory or solid state experiments.

Approval

Syllabus

- Introduction to Fermi liquid theory, quasiparticle, spectral function properties and metal to insulators transitions. Idea of non Fermi liquid metals.
- Local moment formation and suppression in metals.
- Collective excitations: screening and plasma oscillations, spin waves and magnons.
- Electrical and optical properties of Fermi liquid metals and Mott insulators
- Charge impurity in a metal and Friedel oscillation
- Magnetic impurity in a metal: quenching of local moments (Kondo effect)
- Electron phonon interaction: electrical conduction, sound propagation and ultrasonic attenuation.
- Quantum Hall Effect: Landau levels, role of disorder, Laughlin states and composite fermions (time permitting), introduction to topological protection and Chern insulators.
- Band theory and simple topological insulators. 10. Quantum phase transition: Quantum rotor model, mean field solution, scaling and transport properties.

Reference Books

- Concepts in Solids by P. W. Anderson
- Advanced Solid State Physics by P. Philips
- Elementary Excitations in Solids by D. Pines
- Introduction to Many-Body Physics by P. Coleman
- Lecture Notes on Electron Correlation and Magnetism by P. Fazekas
- Condensed Matter Physics by M. P. Marder
- Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions by S. Mulay, J. J. Quinn, M. Shattuck
- Composite Fermions by Jainendra K. Jain
- Quantum phase transition by Subir Sachdev