Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice

Details Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice

2011-10-26

arxiv.org/abs/1110.5874v2

Phys. Rev. Lett. 108, 045702 (2012)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.108.045702

We study the challenging thermal phase transition to stripe order in the frustrated square-lattice Ising model with couplings J1<0 (nearest-neighbor, ferromagnetic) and J2>0 (second-neighbor, antiferromagnetic) for g=J2/|J1|>1/2. Using Monte Carlo simulations and known analytical results, we demonstrate Ashkin-Teller criticality for g>= g*, i.e., the critical exponents vary continuously between those of the 4-state Potts model at g=g* and the Ising model for g -> infinity. Thus, stripe transitions offer a route to realizing a related class of conformal field theories with conformal charge c=1 and varying exponents. The transition is first-order for g

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