Fractional topological insulators
Fractional topological insulators
Fractional topological insulators
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Non-commuting projected position operators<br />
2D: Coordinate transformation<br />
r µ → f µ (r)<br />
<br />
X1 , X 2<br />
<br />
=+i 2 B<br />
<br />
f 1 ( X),f 2 ( X) <br />
=+i 2 B {f 1 ,f 2 } P ( X)+O 4 <br />
B<br />
Poisson bracket<br />
<br />
{f 1 ,f 2 } P<br />
(r) = µν ∂f1 ∂f 2<br />
∂r µ ∂r ν<br />
transformation preserves area<br />
⇒<br />
commutators are unchanged<br />
Thursday, March 22, 2012
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