Fractional topological insulators

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Non-commuting projected position operators 2D: Projection onto Landau level X = P n R Pn = R − 2 B e 3 × Π X1 , X 2 =+i 2 B X 2 ∆X 1 ∆X 2 non-commuting coordinates “fuzziness” X 1 Thursday, March 22, 2012
Non-commuting projected position operators 2D: Coordinate transformation r µ → f µ (r) X1 , X 2 =+i 2 B Thursday, March 22, 2012
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Fractional topological insulators C
Page 3 and 4:
Fractional topological insulators C
Page 5 and 6:
Landau flat bands are interesting!
Page 7 and 8: Early flat bands D. Weire and M. F.
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
Page 57: Non-commuting projected position op
Page 61 and 62: Non-commuting projected position op
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Fractional topological insulators

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