Spherical Spin Glass Model with External Field

@article{Baik2020SphericalSG,
  title={Spherical Spin Glass Model with External Field},
  author={Jinho Baik and Elizabeth Collins-Woodfin and Pierre le Doussal and Hao Wu},
  journal={arXiv: Disordered Systems and Neural Networks},
  year={2020}
}
We analyze the free energy and the overlaps in the 2-spin spherical Sherrington Kirkpatrick spin glass model with an external field for the purpose of understanding the transition between this model and the one without an external field. We compute the limiting values and fluctuations of the free energy as well as three types of overlaps in the setting where the strength of the external field goes to zero as the dimension of the spin variable grows. In particular, we consider overlaps with the… 
Overlaps of a spherical spin glass model with microscopic external field
We examine the behavior of the 2-spin spherical Sherrington-Kirkpatrick model with an external field by analyzing the overlap of a spin with the external field. Previ-ous research has noted that, at
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Free energy fluctuations of the two-spin spherical SK model at critical temperature
  • B. Landon
  • Mathematics
    Journal of Mathematical Physics
  • 2022
TLDR
The fluctuations of the free energy of the $2-spin spherical Sherrington-Kirkpatrick model at critical temperature are investigated and it is proved the existence of a critical window on the scale of $\beta = 1 +\alpha \sqrt{ \log(N) } N^{-1/3}$.

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