Geometric effects on critical behaviours of the Ising model
نویسندگان
چکیده
We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that the critical exponents for the zero-field magnetic susceptibility and the correlation length differ from those for the planar Ising model. The quantitative alternation of these exponents originates from the difference in the metric of the underlying geometry of the Ising lattice. These findings suggest that the underlying geometric character of the system is responsible for the universality class of the Ising model. PACS numbers: 05.50.+q, 05.70.Jk, 64.60.Fr, 75.40.Cx Geometric effects on critical behaviours of the Ising model 2
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