Class Timings: Wednesday & Thursday from 3:30AM -5:00PM
Venue: Wednesday- Feynman Lecture Hall, Thursday- Chern Lecture Hall
First Meeting: 17 August 2023
Course Description:
(a) Berry curvature and Berry phase, two level systems
(b) Landau levels and integer quantum Hall effect
(c) Graphene and other Dirac materials
(d) Unitary and anti-unitary symmetries, discrete symmetries, parity,
inversion, time-reversal invariance and Kramer’s theorem
(e) Basic ideas of topological invariants, winding numbers, Chern
numbers, Z2 quantum numbers
(f) Topological band theory and topological insulators, bulk states
and surface states, toy models to realistic models
(g) Boguliobov-De Gennes formalism and topological superconductors, Kitaev model and Majorana modes
(h) Weyl semimetals, surface states and Fermi arcs
References: Books • Topological insulators and topological superconductors - Andrei Bernevig • Topological insulators : Dirac equation in condensed matter - S. Q. Shen • A short course on topological insulators - J. K. Asboth, L. Oros- zlany and A. Palyi • Various review articles to be specified
Course Evaluation: Presentation
Prerequisites: Basic knowledge of condensed matter physics at the level of Ashcroft
and Mermin, second quantisation, relativistic quantum mechanics
- Teacher: Sumathi Rao