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Ising transition driven by frustration in a 2D classical model with SU(2) symmetry

C. Weber·L. Capriotti·G. Misguich·F. Becca·M. Elhajal·F. Mila
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Abstract

We study the thermal properties of the classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice by extensive Monte Carlo simulations. We show that, for $J_2/J_1 > 1/2 $, thermal fluctuations give rise to an effective $Z_2$ symmetry leading to a {\it finite-temperature} phase transition. We provide strong numerical evidence that this transition is in the 2D Ising universality class, and that $T_c\to 0$ with an infinite slope when $J_2/J_1\to 1/2$.

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C. Weber, L. Capriotti, G. Misguich, F. Becca, M. Elhajal, F. Mila. 2003-07-17. Ising transition driven by frustration in a 2D classical model with SU(2) symmetry. https://doi.org/10.1103/physrevlett.91.177202

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