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.
Sachdev, Quantum Phase Transitions , 2nd ed
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Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
With both random transverse and longitudinal fields present, RG trajectories flow to disordered fixed points and the correlation-length exponent at the infinite-disorder fixed point along the separatrix is approximately 1.
citing papers explorer
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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.
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On the criticality of the configuration-space statistical geometry
Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
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Random transverse and longitudinal field Ising chains
With both random transverse and longitudinal fields present, RG trajectories flow to disordered fixed points and the correlation-length exponent at the infinite-disorder fixed point along the separatrix is approximately 1.