Journal of Statistical Physics

, Volume 88, Issue 5–6, pp 1409–1418 | Cite as

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

  • Z. R. Yang
  • Li Song
Short Communications


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.

Key Words

Bond-moving renormalization group phase transition Ising model 


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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Z. R. Yang
    • 1
    • 2
  • Li Song
    • 1
  1. 1.CCAST (World Laboratory)BeijingChina
  2. 2.Department of Physics and Institute of Theoretical PhysicsBeijing Normal UniversityBeijingChina

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