Phase Transition of a Ising Model on a New Looped Tree-Like Lattice

  • Ono Ikuo
    Department of Physics, Tokyo Institute of Technology

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A more realistic looped tree-like Ising lattice than a cactus tree is newly proposed. In these lattices polygons of bonds are connected with each other through not a single vertex but a common side. For a pure Ising ferromagnet with hexagonal loops, transition temperature is rigorously obtained as kBTcJ=0.864. Random bond mixtures are also rigorously treated.

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