# 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…

## 14 Citations

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- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
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