Jamming-glass transitions in a frustrated Josephson junction array

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Josephson junction arrays are artificial networks of superconducting islands in which the phases of the superconducting order parameter on the islands interact with each other via the Josephson couplings. Under external magnetic fields, such a system becomes strongly frustrated much as a fictitious crystal put in a curved space. We studied the current-voltage property and static properties of a frustrated Josephson junction array on a square lattice by a combination of analytical and numerical approaches. We found that the system exhibits a jamming transition under variation of the anisotropy of the Josephson coupling into the vertical and horizontal directions and identified the mechanism of the transition.