Data and scripts from: Nontrivial critical fixed point for replica-symmetry-breaking transitions

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  • The transformation of the free-energy landscape from smooth to hierarchical is one of the richest features of mean-field disordered systems. A well-studied example is the de Almeida–Thouless transition for spin glasses in a magnetic field, and a similar phenomenon--the Gardner transition--has recently been predicted for structural glasses. The existence of these replica-symmetry-breaking phase transitions has, however, long been questioned below their upper critical dimension, d(u)=6. Here, we obtain evidence for the existence of these transitions in d < d(u) using a two-loop calculation. Because the critical fixed point is found in the strong-coupling regime, we corroborate the result by resumming the perturbative series with inputs from a three-loop calculation and an analysis of its large-order behavior. Our study offers a resolution of the long-lasting controversy surrounding phase transitions in finite-dimensional disordered systems. ... [Read More]

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45 files (9.59 MB)
Data Citation
  • Charbonneau, P. and Yaida, S. (2018). Data and scripts from: Nontrivial critical fixed point for replica-symmetry-breaking transitions. Duke Digital Repository. V2 https://doi.org/10.7924/r4cf9ns11
DOI
  • 10.7924/r4cf9ns11
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  • ark:/87924/r4cf9ns11
Replaces
  • 10.7924/G86Q1V5C
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  • Dataset originally included data for figures that were superseded subsequent to initial publication. V2 represents most current iteration of the dataset with revised figures.
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  • Data and scripts from: Nontrivial critical fixed point for replica-symmetry-breaking transitions

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Version DOI Comment Publication Date
2 10.7924/r4cf9ns11 Dataset originally included data for figures that were superseded subsequent to initial publication. V2 represents most current iteration of the dataset with revised figures. 2018-10-08
1 10.7924/G86Q1V5C 2016-11-09