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

S. E. Korshunov; B. Doucot

doi:10.1103/physrevlett.93.097003

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

S. E. Korshunov·B. Doucot

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Abstract

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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S. E. Korshunov, B. Doucot. 2004-03-25. Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice. https://doi.org/10.1103/physrevlett.93.097003

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