Monte Carlo simulations show the Ashkin-Teller critical line on the Union-Jack lattice splits into two BKT boundaries enclosing an emergent critical phase with power-law magnetization decay and finite correlation-length ratio.
8 (a) and (b), the Binder ratio Qσ t for σ -spins and Qs t for s-spins are plotted as functions of J
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Emergent critical phases of the Ashkin-Teller model on the Union-Jack Lattice
Monte Carlo simulations show the Ashkin-Teller critical line on the Union-Jack lattice splits into two BKT boundaries enclosing an emergent critical phase with power-law magnetization decay and finite correlation-length ratio.