Volume 39, Number 2, July II 1997
|Page(s)||129 - 134|
|Published online||01 September 2002|
The 2D J1 - J2 XY and XY-Ising models
Laboratoire de Physique Théorique et Hautes Energies
Universités Pierre et Marie Curie Paris VI et Denis Diderot Paris VII,
2 pl. Jussieu, 75251 Paris Cedex 05, France
Accepted: 5 June 1997
We consider the classical XY model on a square lattice. In the frustrated phase corresponding to , an Ising order parameter emerges by an "order due to disorder” effect. This leads to a discrete symmetry plus the O(2) global one. We formulate the problem in a Coulomb gas language and show by a renormalization group analysis that only two phases are still possible: a locked phase at low temperature and a disordered one at high temperature. The transition is characterized by the loss of Ising and XY order at the same point. This analysis suggests that the XY model is in the same universality class as XY-Ising models.
PACS: 05.50.+q – Lattice theory and statistics; Ising problems / 75.10.Hk – Classical spin models
© EDP Sciences, 1997
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