Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture

@article{Takeda2005ExactLO,
  title={Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture},
  author={Koujin Takeda and Tomohiro Sasamoto and Hidetoshi Nishimori},
  journal={Journal of Physics A},
  year={2005},
  volume={38},
  pages={3751-3774}
}
We present a conjecture on the exact location of the multicritical point in the phase diagram of spin glass models in finite dimensions. By generalizing our previous work, we combine duality and gauge symmetry for replicated random systems to derive formulae which make it possible to understand all the relevant available numerical results in a unified way. The method applies to non-self-dual lattices as well as to self-dual cases, in the former case of which we derive a relation for a pair of… 

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