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

• 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]

Total Size

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

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• Dataset originally included data for figures that were superseded subsequent to initial publication.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

Thumbnail	Title	Date Uploaded		Actions
	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

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