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arxiv: 1104.4757 · v1 · pith:ZGDW76IFnew · submitted 2011-04-25 · ❄️ cond-mat.str-el

Deconfined Fractionally Charged Excitation in Any Dimensions

classification ❄️ cond-mat.str-el
keywords chargeexcitationchargeddeconfineddimensionsfactorfillingfractionally
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An exact incompressible quantum liquid is constructed at the filling factor $1/m^2$ in square lattice. It supports deconfined fractionally charged excitation. At the filling factor $1/m^2$, the excitation has fractional charge $\pm e/m^2$, where $e$ is the electric charge. This model can be easily generalized to the integer lattice in any $D$ dimensions, where the charge of excitations becomes $\pm e/m^D$.

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