Restoration of Isotropy in the Ising Model on the Sierpinski Gasket

Details Restoration of Isotropy in the Ising Model on the Sierpinski Gasket Restoration of Isotropy in the Ising Model on the Sierpinski Gasket

2006-03-03

arxiv.org/abs/cond-mat/0603065v5

Physics

Condensed Matter

Statistical Mechanics

17 pages, 10 figures. References added in v.2 and 3. Small improvements in v.4, 5. This version will appear in Prog. Theor. Ph

Scientific paper

10.1143/PTP.118.1

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.

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