- A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critical dimension, six, due to the absence of a critical fixed point in the renormalization-group flows at one-loop order. A recent two-loop analysis revealed a possible strong-coupling fixed point, but given the uncontrolled nature of perturbative analysis in the strong- coupling regime, debate persists. Here we examine the nature of the transition as a function of spatial dimension and show that the strong-coupling fixed point can go through a Hopf bifurcation, resulting in a critical limit cycle and a concomitant discrete ... [Read More]
- Total Size
- 63 files (1.78 MB)
- Data Citation
- Charbonneau, P., Hu, Y., Raju, A., Sethna, J., & Yaida, S. (2019). Data and scripts from: Morphology of renormalization-group flow for the de Almeida–Thouless–Gardner universality class. Duke Digital Repository. https://doi.org/10.7924/r4zc7wm7d
- DOI
- 10.7924/r4zc7wm7d
- Subject
- Publication Date
- February 13, 2019
- ARK
- ark:/87924/r4zc7wm7d
- Publisher
- Type
- Related Materials
- Funding Agency
- National Science Foundation
- Simons Foundation
- Grant Number
- Simons Foundation Grant No. 454937
- National Science Foundation Grant No. NSF DMR-1719490
- Contact
- Sho Yaida: shoyaida@gmail.com, ORCID: 0000-0001-5429-0785
- Title
- Data and scripts from: Morphology of renormalization-group flow for the de Almeida–Thouless–Gardner universality class
- Repository
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