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A highly degenerate family of states [proposed in PRB 63, 134503 (2001)] isproven to really minimize the Hamiltonian of the fully frustrated XY model on adice lattice. The harmonic fluctuations are shown to be no consequence for theremoval of the accidental degeneracy of these states, so a particular vortexpattern can be stabilized only by the anharmonic fluctuations. The structure ofthis pattern is found and the temperature of its disordering due to theproliferation of domain walls is estimated. The extreme smallness of thefluctuations induced free energy of domain walls leads to the anomalousprominence of the finite-size effects, which prevent the observation ofvortex-pattern ordering in numerical simulations. In such a situation the lossof phase coherence may be related to the dissociation of fractional vorticeswith topological charges 1/8. In a physical situation the magnetic interactionof currents in a Josephson junction array will be a more important source forthe stabilization of a particular vortex pattern than the anharmonicfluctuations.Comment: 20 pages, 7 figure

physical review. b, condensed matter and materials physics

Fluctuation-induced vortex pattern and its disordering in the fully frustrated<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>model on a dice lattice

Fluctuation-induced vortex pattern and its disordering in the fully frustratedXYmodel on a dice lattice