Fractional topological insulators
Fractional topological insulators
Fractional topological insulators
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Non-commuting projected position operators<br />
3D: non-pristine<br />
<br />
X1 , X 2 , X 3<br />
<br />
=+i 3 + ...<br />
X µ =<br />
<br />
d d k χ † ã (k) iD ã ˜b<br />
µ (k) χ˜b(k)<br />
D µ (k) =∂ µ + A µ (k)<br />
when<br />
Tr D µ ,D ν<br />
<br />
= V<br />
<br />
d d k tr F µν (k) =0<br />
<br />
:<br />
<br />
Xµ , X ν , X ρ<br />
<br />
<br />
: = − iTr <br />
D µ ,D ν ,D ρ<br />
Thursday, March 22, 2012
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