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

arXiv:cond-mat/0310536 · doi:10.1103/PhysRevLett.93.097003

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.

4 pages, 2 figures, RevTeX4, a different method is used to find which state is selected by anharmonic fluctuations, the last third of the text is completly rewritten

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