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

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

2003-07-17

arxiv.org/abs/cond-mat/0307431v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages with 4 figures

Scientific paper

10.1103/PhysRevLett.91.177202

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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