Abstract
We study the properties of Josephson junction arrays in the presence of an offset voltage between the array and the substrate. We first develop an approximate zero-temperature phase diagram as a function of Josephson coupling, charging energy, and offset voltage, using a simple mean-field approximation. This phase diagram has two types of insulating lobes with different kinds of charge order, and two types of superconducting regions. One of these is a “supersolid” in which long-range phase coherence coexists with a frozen charge density wave. We then present Monte-Carlo simulations to study this “supersolid” phase.
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