Monte Carlo studies of the Ising square lattice with competing interactions

Abstract

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.

4 pages, 4 figures, accepted for publication in the proceedings of the conference on Highly Frustrated Magnets 2008 in Braunschweig

References in corpus (4)

• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Supersolidity from defect-condensation in the extended boson Hubbard model
• Supersolid phases in the extended boson hubbard model
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices

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