Critical behavior of the spin correlation function in Ashkin-Teller and Baxter models with a line defect

Abstract

We consider the critical spin-spin correlation function of the Ashkin-Teller and Baxter models. By using path-integral techniques in the continuum description of these models in terms of fermion fields, we show that the correlation decays with distance with the same critical exponent as the Ising model. The procedure is straightforwardly extended to take into account the presence of a line defect. Thus we find that in these altered models the critical index of the magnetic correlation on the defect coincides with the one of the defective 2D Ising or Bariev's model.

Expanded explanations. Added references. Accepted for publication in Phys. Rev. E

References in corpus (9)

• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• Inhomogeneous Systems with Unusual Critical Behaviour
• Theory of the Quantum Critical Fluctuations in Cuprates
• Statistical Models with a Line of Defect
• Ashkin-Teller formalism for elastic response of DNA molecule to external force and torque
• Anomalous critical exponents in the anisotropic Ashkin-Teller model
• 2D Ising Model with a Defect Line
• Scaling properties at the interface between different critical subsystems: The Ashkin-Teller model
• Functional integral approach to multipoint correlators in 2d critical systems

Cited by in corpus (3)

• Worm-type Monte Carlo simulation of the Ashkin-Teller model on the triangular lattice
• Spin correlation function in 2D statistical mechanics models with inhomogeneous line defects
• Numerical study of the critical behavior of the Ashkin-Teller model at a line defect