Zeros of the partition function and dynamical singularities in spin-glass systems

@article{Takahashi2013ZerosOT,
  title={Zeros of the partition function and dynamical singularities in spin-glass systems},
  author={Kazutaka Takahashi and Tomoyuki Obuchi},
  journal={arXiv: Statistical Mechanics},
  year={2013},
  volume={473},
  pages={012023}
}
We study spin-glass systems characterized by continuous occurrence of singularities. The theory of Lee-Yang zeros is used to find the singularities. By using the replica method in mean-field systems, we show that two-dimensional distributions of zeros of the partition function in a complex parameter plane are characteristic feature of random systems. The results of several models indicate that the concept of chaos in the spin-glass state is different from that of the replica symmetry breaking… Expand

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