Non-perturbative effects in spin glasses

  title={Non-perturbative effects in spin glasses},
  author={Michele Castellana and Giorgio Parisi},
  booktitle={Scientific reports},
We present a numerical study of an Ising spin glass with hierarchical interactions--the hierarchical Edwards-Anderson model with an external magnetic field (HEA). We study the model with Monte Carlo (MC) simulations in the mean-field (MF) and non-mean-field (NMF) regions corresponding to d ≥ 4 and d < 4 for the d-dimensional ferromagnetic Ising model respectively. We compare the MC results with those of a renormalization-group (RG) study where the critical fixed point is treated as a… CONTINUE READING

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Theory of spin glasses-commentary.

Journal of physics. Condensed matter : an Institute of Physics journal • 2016

Hierarchical spin glasses in a magnetic field : A renormalizationgroup study

M. Castellana, C. Barbieri
Phys . Rev . B • 2015

The authors declare no competing financial interests

Middleton, A. A. Energetics, +16 authors G. P. reviewed the manuscript. Additional information interests
How to cite this article: Castellana, M. & Parisi, G. Non-perturbative effects in spin glasses. Sci. Rep. 5, 8697; DOI:10.1038/srep08697 • 2015

Replica symmetry breaking in and around six dimensions

G. Parisi, T. Temesvári
Nucl. Phys. B 858, • 2012
View 2 Excerpts

Thermodynamic glass transition in a spin glass without time-reversal symmetry.

Proceedings of the National Academy of Sciences of the United States of America • 2012

Disappearance of the de Almeida-Thouless line in six dimensions

M. A. Moore, A. J. Bray
Phys. Rev. B • 2011
View 1 Excerpt

Large-scale behavior and divergence of the correlation length

M. Castellana, Parisi, G. Renormalization group computation of the critical glasses
Phys. Rev. E 83, 041134 • 2011

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