Long-range spin glass in a field at zero temperature
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914339500326912 |
|---|---|
| author | Angelini, Maria Chiara Palazzi, Saverio Parisi, Giorgio Rizzo, Tommaso |
| author_facet | Angelini, Maria Chiara Palazzi, Saverio Parisi, Giorgio Rizzo, Tommaso |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03488 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Long-range spin glass in a field at zero temperature Angelini, Maria Chiara Palazzi, Saverio Parisi, Giorgio Rizzo, Tommaso Disordered Systems and Neural Networks Statistical Mechanics 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. |
| title | Long-range spin glass in a field at zero temperature |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2602.03488 |