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We show that a physical realization of the phase diagram proposed byMinnhagen et al. [Phys. Rev. B 78, 184432 (2008)] for so-called generalizedfully frustrated XY model on square lattice can be achieved in arrays of SFS(superconductor-ferromagnet-superconductor) junctions near the transition ofthe junctions to $\pi$-state. Moreover, the phase diagram with such a topologyhas to be reproduced twice, on both sides of the $0-\pi$ transition.

Physical realization of the generalized fully frustrated XY model in an array of SFS junctions