Department of Physics

Indian Institute Of Technology Madras , Chennai

Topological Insulators

Speaker : Prof. Shankar, Yale University

2018-01-19

Abstract :

1. Vector potential, gauge invariance, Aharanov Bohm, Dirac quantization eg = m hbar/2, sections instead of wave functions for the monopole.
2. Berry phase: origin, Berry potential, and flux, monopole at degeneracy , effect on dynamics.
3. Symmetries, unitary and anti, details of time reversal symmetry
4. Symmetries of lattice models and band theory
5. Su-Schreiffer-Heeger model : model, topology, various phases, edge states, continuum theory, charge fractionalization.
6. TKKN theory of Hall conductance as Chern number (from Kubo , with all details)
7. Chern bands, different expressions for Chern number , sigmaxy for Dirac sea
8. 1/2 Bernevig-Hughes-Zhang model : Dirac points, phases edges
9. Graphene
10 IQHE as Topological insulator
11. TRI TI's Kane-Mele model, Z_2 classification, diagnosis of phases

Key Speaker Prof. Shankar, Yale University
Guests None
Place S N Bose Hall (HSB 210)
Start Time 3:00 PM
Finish Time 4:30 PM
External Link None