Deconfined Fractionally Charged Excitation in Any Dimensions

Details Deconfined Fractionally Charged Excitation in Any Dimensions Deconfined Fractionally Charged Excitation in Any Dimensions

2011-04-25

arxiv.org/abs/1104.4757v1

Physics

Condensed Matter

Strongly Correlated Electrons

4.3 pages, 4 figures

Scientific paper

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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