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

2011/10/31 by Songbo Jin, Arnab Sen, Anders W. Sandvik · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.108.045702

published as Phys. Rev. Lett. 108, 045702 (2012) · 5 pages, 5 figures

arxiv created 2012/01/26 · arxiv updated 2012/01/30

Abstract

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<g*= 0.67(1), much lower than previously believed, and exhibits pseudo first-order behavior for g* < g < 1.

Cited by

• Comments on the minimal training set for CNN: a case study of the frustrated J₁-J₂ Ising model on the square lattice

Related

• Phase transitions in the frustrated Ising model on the square lattice
• Location of the Potts-critical end point in the frustrated Ising model on the square lattice
• Phase diagram and critical behavior of the square-lattice Ising model with competing nearest-neighbor and next-nearest-neighbor interactions
• The frustrated Ising model on the honeycomb lattice: Metastability and universality
• Spiral states, first-order transitions and specific heat multipeak phenomenon in J₁-J₂-J₃ Ising model: A Wang-Landau algorithm study