Application of bond-moving renormalization-group approach to fractal lattices

Details Application of bond-moving renormalization-group approach to fractal lattices Application of bond-moving renormalization-group approach to fractal lattices

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jsp....88.1409y&link_type=abstract

Journal of Statistical Physics, Volume 88, Issue 5-6, pp. 1409-1418

Physics

Bond-Moving Renormalization Group, Phase Transition, Ising Model

Scientific paper

We investigate the application of the Migdal-Kadanoff bond-moving renormalization group (RG) approach to fractal lattices. We find the following two results: first, for inhomogeneous interaction lattice models, bond moving involving inequivalent bonds is unsuitable because it violates the condition < Δ>=0 ( Δ is the perturbation potential resulting from moving the bonds); second, the condition < Δ>=0 does not uniquely determine the way to move bonds; different choices of bond moving yield different RG recursion relations and corresponding fixed points, which makes the conclusions concerning the phase transition quite uncertain.

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