Naoto Yajima
Published 2006-03-03, updated 2007-06-20Version 5
We study the ferromagnetic Ising model on the Sierpinski 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.
Comments: 17 pages, 10 figures. References added in v.2 and 3. Small improvements in v.4, 5. This version will appear in Prog. Theor. Phys
Phase diagram and exotic spin-spin correlations of anisotropic Ising model on the Sierpiński gasket
Finite-size scaling for the Ising model on the Moebius strip and the Klein bottle
Ising model with memory: coarsening and persistence properties
