Fractional topological insulators

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Are there other ways to get flat bands? Are they as interesting as Landau levels? Thursday, March 22, 2012
Early flat bands D. Weire and M. F. Thorpe, PRB 4, 2508 (1971) J. P. Straley, PRB 6, 4086 (1972) Thursday, March 22, 2012
Page 1 and 2: Fractional topological insulators C
Page 3 and 4: Fractional topological insulators C
Page 5: Landau flat bands are interesting!
Page 9 and 10: Possible flat band energies in the
Page 11 and 12: Can go on and on... Parallel flat b
Page 13 and 14: Are there other ways to get flat ba
Page 15 and 16: Quantum Hall effect w/o Landau leve
Page 17 and 18: a) b) Quantum Hall effect w/o Landa
Page 19 and 20: c) ε/t 1 2 0 − 4π k x 4π 3 √
Page 21 and 22: Add interactions 2 b) A i B i A i B
Page 23 and 24: Chern insulator: exact diagonalizat
Page 25 and 26: Is there a fractional Hall effect?
Page 27 and 28: Thursday, March 22, 2012 Is there a
Page 29 and 30: Spin quantum Hall effect - two FQHE
Page 31 and 32: Lattice realization of time-reversa
Page 33 and 34: Topological insulator: 1/2 filling
Page 39 and 40: = 0 γ x 3-fold 9-fold 0 10 20 Topo
Page 43 and 44: % !" ! Perspective - bulk vs. edge
Page 49 and 50: Classification of non-interacting s
Page 51 and 52: Classification of non-interacting s
Page 53 and 54: 3D Lattice model 3 orbital model on
Page 55 and 56: 3D Lattice model 3 orbital model on
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Non-commuting projected position op
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Fractional topological insulators

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