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

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

2008-12-22

arxiv.org/abs/0812.4263v2

Phys. Rev. E 79, 051112, (2009)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.79.051112

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.

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