Application of bond-moving renormalization-group approach to fractal lattices |
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Authors: | Z. R. Yang Li Song |
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Affiliation: | (1) CCAST (World Laboratory), P.O. Box 8730, 100080 Beijing, China;(2) Department of Physics and Institute of Theoretical Physics, Beijing Normal University, 100875 Beijing, China |
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Abstract: | 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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Keywords: | Bond-moving renormalization group phase transition Ising model |
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