Ising transition driven by frustration in a 2D classical model with continuous symmetry

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

doi:10.1103/PhysRevLett.91.177202

Ising transition driven by frustration in a 2D classical model with continuous symmetry

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

Research output: Contribution to journal › Article › peer-review

91 Citations (Scopus)

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 Tc→0 with an infinite slope when J2/J1→1/2.

Original language	English
Article number	177202
Pages (from-to)	1772021-1772024
Number of pages	4
Journal	Physical Review Letters
Volume	91
Issue number	17
DOIs	https://doi.org/10.1103/PhysRevLett.91.177202
Publication status	Published - 24 Oct 2003

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10.1103/PhysRevLett.91.177202

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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 Tc→0 with an infinite slope when J2/J1→1/2.",

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AU - Capriotti, L.

AU - Misguich, G.

AU - Becca, F.

AU - Elhajal, M.

AU - Mila, F.

PY - 2003/10/24

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N2 - 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 Tc→0 with an infinite slope when J2/J1→1/2.

AB - 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 Tc→0 with an infinite slope when J2/J1→1/2.

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DO - 10.1103/PhysRevLett.91.177202

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Ising transition driven by frustration in a 2D classical model with continuous symmetry

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