Two phase transitions in the fully frustrated $XY$ model

Details Two phase transitions in the fully frustrated $XY$ model Two phase transitions in the fully frustrated $XY$ model

1995-06-19

arxiv.org/abs/cond-mat/9506082v1

Physics

Condensed Matter

REVTEX file, 8 pages, 5 figures in uuencoded postscript

Scientific paper

10.1103/PhysRevLett.75.2758

The fully frustrated $XY$ model on a square lattice is studied by means of Monte Carlo simulations. A Kosterlitz-Thouless transition is found at $T_{\rm KT} \approx 0.446$, followed by an ordinary Ising transition at a slightly higher temperature, $T_c \approx 0.452$. The non-Ising exponents reported by others, are explained as a failure of finite size scaling due to the screening length associated with the nearby Kosterlitz-Thouless transition.

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