Fluctuations and vortex-pattern ordering in the fully frustrated XY model on a honeycomb lattice |
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Authors: | Korshunov S E Douçot B |
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Institution: | L. D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow 119334, Russia. |
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Abstract: | The accidental degeneracy of various ground states of a fully frustrated XY model with a honeycomb lattice is shown to survive even when the free energy of the harmonic fluctuations is taken into account. The reason for that consists in the existence of a hidden gauge symmetry between the Hamiltonians describing the harmonic fluctuations in all these ground states. A particular vortex pattern is selected only when anharmonic fluctuations are taken into account. However, the observation of vortex ordering requires relatively large system size L>Lc > or approximately equal to 10(5). |
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