Deconfined fractionally charged excitation in any dimensions

An exact incompressible quantum liquid is constructed at the filling factor 1/m21/m2 in the square lattice. It supports deconfined fractionally charged excitation. At the filling factor 1/m21/m2, the excitation has fractional charge e/m2e/m2, where ee is the electric charge. This model can be easily generalized to the nn-dimensional square lattice (integer lattice), where the charge of excitations becomes e/mne/mn.

► We demonstrate that the fractionally-charged excitations can in principle exist in any dimensions. ► We compute the fractional charge of the excitations (e∗=e/mDe∗=e/mD). ► We demonstrate that the fractionally-charged excitation is in a deconfined phase.