Dynamic scaling on fractals with sublattices

Abstract

Dynamic scaling techniques are developed for antiferromagnets and multiatomic lattices. The methods are applied to antiferromagnets and triatomic lattices on Sierpinski gasket fractals, and to ferro- and antiferromagnets on Berker hierarchical lattices. Relationships between the frequencies of ferro- and antiferromagnets on the same fractal and of mono- and multiatomic fractal systems are given. In particular the dynamic exponents zA and zF of antiferromagnetic and ferromagnetic Sierpinski gaskets or Berker lattice fractals are shown to satisfy zA=1/2zF.