Phase diagram of generalized fully frustrated XY model in two dimensions
Abstract
It is shown that the phase diagram of the twodimensional generalized fully frustrated XY model on a square lattice contains a crossing of the chirality transition and the KosterlitzThouless (KT) transition, as well as a stable phase characterized by a finite helicity modulus Υ and an unbroken chirality symmetry. The crossing point itself is consistent with a critical point without any jump in Υ , with the size (L) scaling Υ∼L^{0.63} and the critical index ν≈0.77 . The KT transition line remains continuous beyond the crossing but eventually turns into a firstorder line. The results are established using Monte Carlo simulations of the staggered magnetization, helicity modulus, and the fourthorder helicity modulus.
 Publication:

Physical Review B
 Pub Date:
 December 2007
 DOI:
 10.1103/PhysRevB.76.224403
 arXiv:
 arXiv:0801.3070
 Bibcode:
 2007PhRvB..76v4403M
 Keywords:

 75.10.b;
 64.60.Cn;
 74.50.+r;
 75.10.Hk;
 General theory and models of magnetic ordering;
 Orderdisorder transformations;
 statistical mechanics of model systems;
 Tunneling phenomena;
 point contacts weak links Josephson effects;
 Classical spin models;
 Condensed Matter  Superconductivity;
 Condensed Matter  Statistical Mechanics
 EPrint:
 5 pages, 5 figures, in two columns