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Topological Order in the Insulating Josephson Junction Array

Topological Order in the Insulating Josephson Junction Array

We propose a Josephson junction array which can be tuned into an unconventional insulating state by varying external magnetic field. This insulating state retains a gap to half vortices; as a consequence, such array with non-trivial global geometry exhibits a ground state degeneracy. This degeneracy is protected from the effects …