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]

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

Creator: Charbonneau, Patrick
Yaida, Sho
DOI: 10.7924/r4cf9ns11
Subject: Glasses
Publication Date: October 8, 2018
ARK: ark:/87924/r4cf9ns11
Replaces: 10.7924/G86Q1V5C
Affiliation: Chemistry
Physics
Publisher: Duke Digital Repository
Language: eng
Type: Dataset
Related Materials: Charbonneau, P., & Yaida, S. (2017). Nontrivial Critical Fixed Point for Replica-Symmetry-Breaking Transitions. Physical Review Letters, 118(21), 215701. https://doi.org/10.1103/PhysRevLett.118.215701
Provenance: Dataset originally included data for figures that were superseded subsequent to initial publication. V2 represents most current iteration of the dataset with revised figures.
Contact: Patrick Charbonneau: patrick.charbonneau@duke.edu, ORCID: 0000-0001-7174-0821
License: Creative Commons CC0 1.0 Universal
Title: Data and scripts from: Nontrivial critical fixed point for replica-symmetry-breaking transitions
License: http://creativecommons.org/publicdomain/zero/1.0/
Repository: Duke Research Data Repository

Title	Date Uploaded	Visibility
Data and generating script for Figure 1a	2018-10-08	Public
Data and generating script for Figure 1b	2018-10-08	Public
Data and generating script for Figure 1c	2018-10-08	Public
Data and generating script for Figure 1d	2018-10-08	Public
Data and generating script for Figure 2a	2018-10-08	Public
Data and generating script for Figure 2b	2018-10-08	Public
Data and generating script for Figure 2c	2018-10-08	Public
Data and generating script for Figure S3	2018-10-08	Public
Data for three-loop combinatorial factors	2018-10-08	Public

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Versions

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

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