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Topological Phases of Quantum Matter
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Topological Phases of Quantum Matter
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- 1 Topological Phases of Quantum Matter
- 2 arXiv number 1807.10271 - The "High Quality" Topological Materials in the World
- 3 Why are topological phases interesting?
- 4 What is Topology?
- 5 Definition of topological phases
- 6 II -First topological phase - 35 years ago integer quantum hall effect
- 7 Conventional Hall Effect
- 8 Integer quantum Hall effect - 1982
- 9 Quantum problem of single electron moving in a perpendicular magnetic field
- 10 Topological explanation of the quantisation
- 11 III - Edge states and bulk-boundary correspondence
- 12 Semi-classical argument
- 13 Quantum mechanical - bulk edge correspondence
- 14 IV - Topological materials post - 2005
- 15 The topological revolution 10-15 years ago - Topological insulators
- 16 Topological band theory
- 17 Adiabatic continuity and topology
- 18 Quantum spin Hall effect
- 19 Topological insulators
- 20 Time reversal symmetry
- 21 Kramer's theorem
- 22 What are the consequences?
- 23 Real material and experiments in 2D
- 24 3D topological insulators
- 25 Real materials and experiments in 3D
- 26 Topological superconductors
- 27 One dimensional topological insulator
- 28 Majorana modes
- 29 Su-Schrieffer-Heeger model
- 30 Edge states in the Su-Schrieffer Heeger model
- 31 One dimensional topological superconductor - Kitaev Model
- 32 Current frontiers in the field
- 33 Floquet topological phases induced by driving
- 34 Interplay of interactions and topology
- 35 Quest for Majoranas - several ideas
- 36 Glimpse of my collaborators
- 37 Take-away points
- 38 Take-away points cont
