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Acknowledgements
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Classroom Contents
Phases to Phases - An Invitation to Topological Phases of Many Particles by Vijay Shenoy
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- 1 Acknowledgements
- 2 Overview: Phases to Phases
- 3 Topological Matter Matters
- 4 Phases of Electrons- Matter... and its phases
- 5 Whence Phases?
- 6 Atomic Theory...to Theory of Phases
- 7 Electrons... and Electronic Phases
- 8 Quantum Condensed Matter Physics - Bird's Eye View
- 9 Taking Stock...
- 10 Summary of a Grad Course!
- 11 Current Status
- 12 Electronic Phases.... What and Why Topology?
- 13 Essential Quantum Ideas
- 14 Warm Up: Atomic Structure - Few Electrons
- 15 Electronic Liquid Phase - Metal
- 16 ...and Insulators
- 17 Insulators: "Electronic Solid Phase"
- 18 Topology of Electrons Phases - Whetting the Appetite
- 19 Topology...Revealed in a Finite Chain
- 20 Topology...on the Edge
- 21 Phases Distinguished by Topology... and Phase Transitions
- 22 Topology of Electron Phases
- 23 Gapped Phases of Electrons
- 24 Topology of Ground States
- 25 The Tenfold Way-Bird's-Eye View
- 26 Beginnings...
- 27 Beginnings...II
- 28 Symmetries...Recap
- 29 Symmops of Fermionic Systems
- 30 Symmops - Summary
- 31 Non-ordinary Symmops: Properties
- 32 Tenfold Way-Another View
- 33 Grotesque" Fermionic Systems GFS
- 34 Further Properties of Non-Ordinary Symmetries of a GFS
- 35 Ten Classes
- 36 Canonical Representation of Symmetries
- 37 Tenfold Way - A Group Cohomological View
- 38 Tenfold Way: Noninteracting Systems
- 39 Interacting Systems
- 40 From GFS to Lattice
- 41 Bands etc.
- 42 Ground state.. and Topology
- 43 Periodic Table
- 44 Periodic Table...for Human beings
- 45 Topological Insulators
- 46 Topology Insulator for Technology
- 47 Topological Insulators in Amorphous Systems
- 48 Motivating Clues...
- 49 Edge States
- 50 ....with Quantized Transport
- 51 Topological Invariant
- 52 Phase Diagram
- 53 Experimental Realization!
- 54 Tunable Topology?
- 55 Things Not Discussed...and Open Issues
- 56 Key Takeaway
- 57 Summary
