Phase diagram and critical phenomena of a frustrated Blume-Capel model with alternating single-ion anisotropy ± D, nearest- and next-nearest-neighbour exchange interactions with equal magnitude J are studied by the Monte Carlo simulations using Wang-Landau sampling and nonequilibrium relaxation method. The collinear ordered phase due to next-nearest-neighbour interaction and partial ordered phase due to alternating anisotropy are confirmed together with a paramagnetic phase. We obtained the numerical results which strongly suggests that a single phase transition at D = 0 splits into two Ising lines as soon as D is switched on. With the increase of D, the critical point of the easy-axis sublattice stays on a usual Ising-like critical line while that of the easy-plane sublattice passes through the tricritical point and the transition becomes of the first order as in the usual Blume-Capel model. © 2010.
|Original language||English (US)|
|Number of pages||5|
|State||Published - Feb 2010|
Bibliographical noteKAUST Repository Item: Exported on 2021-07-02
Acknowledgements: SM and NI are supported by a Grant-in-Aid for Scientific Research (B) No. 19340110 from the Ministry Education, Culture, Sports, Science and Technology Japan, and theGlobal Research Partnership of King Abdullah University of Science and Technology
(KUK-I1-005-04). KH is supported by a Grant-in-Aid for Scientific Research on Priority Areas, ”Novel States of Matter Induced by Frustration” (20046003), from the Ministry of Education, Science, Sports and Culture of Japan.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.