Ising transition driven by frustration in a 2D classical model with continuous symmetry |
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Authors: | Weber Cédric Capriotti Luca Misguich Grégoire Becca Federico Elhajal Maged Mila Frédéric |
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Institution: | Institut de Physique Théorique, Université de Lausanne, CH-1015 Lausanne, Switzerland. |
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Abstract: | We study the thermal properties of the classical antiferromagnetic Heisenberg model with both nearest (J1) and next-nearest (J2) exchange couplings on the square lattice by extensive Monte Carlo simulations. We show that, for J2/J1>1/2, thermal fluctuations give rise to an effective Z2 symmetry leading to a finite-temperature phase transition. We provide strong numerical evidence that this transition is in the 2D Ising universality class, and that T(c)-->0 with an infinite slope when J2/J1-->1/2. |
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