Long-range spin glass in a field at zero temperature
Abstract
We compute the critical exponents of the zero-temperature spin glass transition in a field on a one-dimensional long-range model, a proxy for higher-dimensional systems. Our approach is based on a novel loop expansion within the Bethe M -layer formalism, whose adaptation to this specific case is detailed here. The resulting estimates provide crucial benchmarks for numerical simulations that can access larger system sizes in one dimension, thus offering a key test of the theory of spin glasses in a field.
Fields of Study & Subjects
Theoretical and Computational Physics
Quantum and electron transport phenomena
Chemical and Physical Properties of Materials
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Publisher
- American Physical Society (APS)
- Volume
- 114
- Issue
- 1
- Publication date
- 10 June 2026
- Language
- EN