Ising model on a hyperbolic plane with a boundary.

نویسندگان

  • Seung Ki Baek
  • Harri Mäkelä
  • Petter Minnhagen
  • Beom Jun Kim
چکیده

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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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 84 3 Pt 1  شماره 

صفحات  -

تاریخ انتشار 2011