Ju n 20 07 Restoration of Isotropy in the Ising Model on the Sierpiński Gasket

@inproceedings{Yajima2007JuN2,
  title={Ju n 20 07 Restoration of Isotropy in the Ising Model on the Sierpiński Gasket},
  author={Naoto Yajima},
  year={2007}
}
We study the ferromagnetic Ising model on the Sierpiński gasket (SG), where the spin-spin interactions depends on the direction. Using the renormalization group method, we show that the ratios of the correlation lengths restore the isotropy of the lattice as the temperature approaches zero. This restoration is either partial or perfect, depending on the interactions. In case of partial restoration, we also evaluate the leading-order singular behavior of the correlation lengths.