Two-point correlation function of the 2D Ising model with impurity lattice bonds
V S Dotsenko; Vl S Dotsenko; V S Dotsenko; Landau Inst. for Theoretical Phys., Acad. of Sci., Moscow, USSR; Vl S Dotsenko; Landau Inst. for Theoretical Phys., Acad. of Sci., Moscow, USSR
Журнал:
Journal of Physics C: Solid State Physics
Дата:
1982-06-20
Аннотация:
The two-point correlation function of the 2D Ising model with small concentration of impurity bonds ( nu <sub>imp</sub><<1) is found to change its critical behaviour from ( sigma <sub>r</sub> sigma <sub>0</sub>) approximately 1/R<sup>1/4</sup> for r<<R<sub>nu </sub>exp(c<sub>1</sub>/ nu <sub>imp</sub>) to ( sigma <sub>R</sub> delta <sub>0</sub>) approximately exp<or=-(c<sub>2</sub>/ nu <sub>imp</sub>)(ln ln R)<sup>2</sup>) for R>>R, which implies the change of the critical index from <sup>1</sup>/<sub>4</sub> in the pure Ising model to 0 in the model with impurities.
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