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Fractional topological insulators

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3D Lattice model<br />

3 orbital model on the cubic lattice<br />

3<br />

H k = λ 3+i sin k i + λ 7<br />

M −<br />

i=1<br />

3<br />

i=1<br />

cos k i<br />

<br />

Gell-Mann matrices<br />

flat band<br />

a) M = 0<br />

3<br />

2<br />

1<br />

0<br />

1<br />

2<br />

3<br />

4<br />

2<br />

0<br />

2<br />

4<br />

X M R X R M<br />

X M R X R M<br />

X M R X R M<br />

X M R X R M<br />

b) M = 1<br />

X M R X R M<br />

4<br />

2<br />

0<br />

2<br />

4<br />

X M R X R M<br />

c) M = 2 d) M = 3<br />

6<br />

4<br />

2<br />

0<br />

2<br />

4<br />

6<br />

X M R X R M<br />

X M R X R M<br />

Thursday, March 22, 2012

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