Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 2 figures, RevTeX4, a different method is used to find which state is selected by anharmonic fluctuations, the last t

Scientific paper

10.1103/PhysRevLett.93.097003

The accidental degeneracy of various ground states in 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>>100000.

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