Fractional topological insulators
Fractional topological insulators
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