Unification of Topological Invariants and Topological Markers

Unification of Topological Invariants and Topological Markers

ICTP-SAIFR via YouTube Direct link

Summary

11 of 12

11 of 12

Summary

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Unification of Topological Invariants and Topological Markers

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  1. 1 Intro
  2. 2 Outline
  3. 3 Some patterns for the topological invariants
  4. 4 Introducing the wrapping number (a.ka. degree of the map)
  5. 5 Quantum metric of (degenerate) filled band states
  6. 6 Time-dependent perturbation theory of measuring quantum metric
  7. 7 Estimation for graphene
  8. 8 Other intriguing applications of quantum metric
  9. 9 Local and nonlocal topological marker
  10. 10 Applications to 1D classes
  11. 11 Summary
  12. 12 Applications to 2D classes

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