Tricritical point of the J1J2 Ising model on a hyperbolic lattice

R. Krcmar, T. Iharagi, A. Gendiar, and T. Nishino
Phys. Rev. E 78, 061119 – Published 17 December 2008

Abstract

The ferromagnetic-paramagnetic phase transition of the two-dimensional frustrated Ising model on a hyperbolic lattice is investigated by use of the corner transfer matrix renormalization group method. The model contains a ferromagnetic nearest-neighbor interaction J1 and a competing antiferromagnetic interaction J2. A mean-field-like second-order phase transition is observed when the ratio κ=J2J1 is less than 0.203. In the region 0.203<κ<14, the spontaneous magnetization is discontinuous at the transition temperature. Such tricritical behavior suggests that the phase transitions on hyperbolic lattices need not always be mean-field-like.

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  • Received 1 July 2008

DOI:https://doi.org/10.1103/PhysRevE.78.061119

©2008 American Physical Society

Authors & Affiliations

R. Krcmar1, T. Iharagi2, A. Gendiar1,3, and T. Nishino2

  • 1Institute of Electrical Engineering, Centre of Excellence CENG, Slovak Academy of Sciences, Dúbravská cesta 9, SK-841 04, Bratislava, Slovakia
  • 2Department of Physics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan
  • 3Institute for Theoretical Physics C, RWTH Aachen University, D-52056 Aachen, Germany

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Issue

Vol. 78, Iss. 6 — December 2008

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