A. Kalz, A. Honecker, S. Fuchs, T. Pruschke
Published 2008-09-15Version 1
We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a critical point at $J_2 = J_1/2$ where the groundstate is highly degenerate. To analyse the phase boundaries we look at the specific heat and the energy distribution for various ratios of $J_2/J_1$. We find a first order transition for small $J_2 > J_1/2$ and the transition temperature suppressed to $T_C=0$ at the critical point.
Comments: 4 pages, 4 figures, accepted for publication in the proceedings of the conference on Highly Frustrated Magnets 2008 in Braunschweig
Journal: J. Phys.: Conf. Ser. 145 (2009) 012051
Phase diagram of the Ising square lattice with competing interactions
First order transitions and multicritical points in weak itinerant ferromagnets
Monte Carlo studies of extensions of the Blume-Emery-Griffiths model
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