Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 76, Issue 8, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.76.084004
Keywords
CTMRG; Ising model; scaling; curvature
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Critical behavior of the Ising model is investigated at the center of large scale finite size systems, where the lattice is represented as the tiling of pentagons. The system is on the hyperbolic plane, and the recursive structure of the lattice makes it possible to apply the corner transfer matrix renormalization group method. From the calculated nearest neighbor spin correlation function and the spontaneous magnetization, it is concluded that the phase transition of this model is mean-field like. One parameter deformation of the corner Hamiltonian on the hyperbolic plane is discussed.
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