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Flatbands: Construction and Perturbation in Translationally Invariant Systems
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- 1 Intro
- 2 People involved
- 3 Outline
- 4 Technical definition
- 5 Construction of flatbands: methods
- 6 Classification of flatbands
- 7 Real space construction
- 8 Simple example: 1D, U = 2, n.n. hopping
- 9 Manifolds of flatbands
- 10 Bloch space construction
- 11 Simple example: Lieb lattice
- 12 All bands flat are trivial?
- 13 Intermediate summary
- 14 Perturbations
- 15 Weak quasi-periodic potential
- 16 Conclusions
- 17 Future directions
