The structure and the degeneracy of the ground state of a fully frustrated XY model are investigated for the case of a dice-lattice geometry. The results are applicable for the description of Josephson junction arrays and thin superconducting wire networks in the external magnetic field providing half-integer number of flux quanta per plaquette. The mechanisms of disordering of vortex pattern in such systems are briefly discussed.
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S. E. Korshunov (2001) studied this question.
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