Journal
PHYSICAL REVIEW E
Volume 84, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.84.032103
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Funding
- Swedish Research Council [621-2008-4449]
- National Research Foundation of Korea (NRF)
- Ministry of Education, Science, and Technology [2010-0029700]
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A hyperbolic plane can be modeled by a structure called the enhanced binary tree. We study the ferromagnetic Ising model on top of the enhanced binary tree using the renormalization-group analysis in combination with transfer-matrix calculations. We find a reasonable agreement with Monte Carlo calculations on the transition point, and the resulting critical exponents suggest the mean-field surface critical behavior.
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