Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices

@article{Nishimori2006LocationOT,
  title={Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices},
  author={Hidetoshi Nishimori and Masayuki Ohzeki},
  journal={Journal of the Physical Society of Japan},
  year={2006},
  volume={75},
  pages={034004}
}
A conjecture is given for the exact location of the multicritical point in the phase diagram of the ± J Ising model on the triangular lattice. The result p c =0.8358058 agrees well with a recent numerical estimate. From this value, it is possible to derive a comparable conjecture for the exact location of the multicritical point for the hexagonal lattice, p c =0.9327041, again in excellent agreement with a numerical study. The method is a variant of duality transformation to relate the… 
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