Sequence of phase transitions induced in an array of Josephson junctions by their crossover to pi-state

Abstract

We show that the transition of Josephson junctions between the conventional and pi states caused by the decrease in temperature induces in a regular two-dimensional array of such junctions not just a single phase transition between two phases with different ordering but a sequence of two, three or four phase transitions. The corresponding phase diagrams are constructed for the cases of bipartite (square or honeycomb) and triangular lattices.

5 pages, v2: as published in EPL

References in corpus (3)

• Imaging spontaneous currents in superconducting arrays of pi-junctions
• Nematic and chiral orders for planar spins on triangular lattice
• Uniformly frustrated XY model without vortex-pattern ordering

Cited by in corpus (3)

• Vortex confinement transitions in the modified Goldstone model
• ${\mathbb{Z}}_n$ modified XY and Goldstone models and vortex confinement transition
• Physical realization of the generalized fully frustrated XY model in an array of SFS junctions