Abstract
The ferromagnetic-paramagnetic phase transition of the two-dimensional frustrated Ising model on a hyperbolic lattice is investigated by use of the corner transfer matrix renormalization group method. The model contains a ferromagnetic nearest-neighbor interaction and a competing antiferromagnetic interaction . A mean-field-like second-order phase transition is observed when the ratio is less than 0.203. In the region , the spontaneous magnetization is discontinuous at the transition temperature. Such tricritical behavior suggests that the phase transitions on hyperbolic lattices need not always be mean-field-like.
6 More- Received 1 July 2008
DOI:https://doi.org/10.1103/PhysRevE.78.061119
©2008 American Physical Society