Advanced Condensed Matter Physics

The Course deals with the prerequisite material for studying advanced level research in Condensed Matter Physics. The course begins with a preliminary discussion on second quantization, followed by zero temperature and Matsubara Greens functions. Applications to Hubbard model, Kane Mele model and superconductivity are discussed. Intended Audience : UG and PG students of Electrical and Electronics Engineering/Engineering Physics/PhysicsPre-requisites : Solid State Physics Course

Week 1: Second quantisationWeek 2: Applications of second quantisation to free particle systemsWeek 3: Applications: Quantum Theory of magnetism, Hubbard modelWeek 4: Greens functions at zero temperatureWeek 5: Wick’s theorem, Feynman diagramsWeek 6: Finite temperature Greens functions – Matsubara formalismWeek 7: Applications of Greens functions to superconductivityWeek 8: Meissner effect, non-local electrodynamics, BCS theory