Spin-s spin-glass phases in the d=3 Ising model
dc.authorid | Artun, Erbil Can/0000-0002-9624-3124 | |
dc.authorid | Berker, A/0000-0002-5172-2172 | |
dc.authorwosid | Artun, Erbil Can/AAR-1225-2021 | |
dc.contributor.author | Berker, Ahmet Nihat | |
dc.contributor.author | Berker, A. Nihat | |
dc.date.accessioned | 2023-10-19T15:11:32Z | |
dc.date.available | 2023-10-19T15:11:32Z | |
dc.date.issued | 2021 | |
dc.department-temp | [Artun, E. Can; Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkey; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USA | en_US |
dc.description.abstract | All higher-spin (s >= 1/2) Ising spin glasses are studied by renormalization-group theory in spatial dimension d = 3, exactly on a d = 3 hierarchical model and, simultaneously, by the Migdal-Kadanoff approximation on the cubic lattice. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It is found that, in d = 3, a finite-temperature spin-glass phase occurs for all spin values, including the continuum limit of s -> infinity. The phase diagrams, with increasing spin s, saturate to a limit value. The spin-glass phase, for all s, exhibits chaotic behavior under rescalings, with the calculated Lyapunov exponent of lambda = 1.93 and runaway exponent of y(R) = 0.24, showing simultaneous strong-chaos and strong-coupling behavior. The ferromagnetic-spin-glass and spin-glass-antiferromagnetic phase transitions occurring, along their whole length, respectively at p(t) = 0.37 and 0.63 are unaffected by s, confirming the percolative nature of this phase transition. | en_US |
dc.description.sponsorship | Kadir Has University Doctoral Studies Scholarship Fund; Academy of Sciences of Turkey (TuBA) | en_US |
dc.description.sponsorship | Support by the Kadir Has University Doctoral Studies Scholarship Fund and by the Academy of Sciences of Turkey (TuBA) is gratefully acknowledged. | en_US |
dc.identifier.citation | 1 | |
dc.identifier.doi | 10.1103/PhysRevE.104.044131 | en_US |
dc.identifier.issn | 2470-0045 | |
dc.identifier.issn | 2470-0053 | |
dc.identifier.issue | 4 | en_US |
dc.identifier.pmid | 34781492 | en_US |
dc.identifier.scopus | 2-s2.0-85117719130 | en_US |
dc.identifier.scopusquality | Q1 | |
dc.identifier.uri | https://doi.org/10.1103/PhysRevE.104.044131 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12469/5072 | |
dc.identifier.volume | 104 | en_US |
dc.identifier.wos | WOS:000711025900003 | en_US |
dc.identifier.wosquality | Q1 | |
dc.khas | 20231019-WoS | en_US |
dc.language.iso | en | en_US |
dc.publisher | Amer Physical Soc | en_US |
dc.relation.ispartof | Physical Review E | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Lower Critical Dimension | En_Us |
dc.subject | High-Temperature Series | En_Us |
dc.subject | Renormalization-Group | En_Us |
dc.subject | Hierarchical Lattices | En_Us |
dc.subject | Confluent Singularities | En_Us |
dc.subject | Systems | En_Us |
dc.subject | Transitions | En_Us |
dc.subject | Susceptibility | En_Us |
dc.subject | Expansions | En_Us |
dc.subject | 1st-Order | En_Us |
dc.subject | Lower Critical Dimension | |
dc.subject | High-Temperature Series | |
dc.subject | Renormalization-Group | |
dc.subject | Hierarchical Lattices | |
dc.subject | Confluent Singularities | |
dc.subject | Systems | |
dc.subject | Transitions | |
dc.subject | Susceptibility | |
dc.subject | Expansions | |
dc.subject | 1st-Order | |
dc.title | Spin-s spin-glass phases in the d=3 Ising model | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | db2f6241-4861-48d5-b8ca-f0482a4d86b3 | |
relation.isAuthorOfPublication.latestForDiscovery | db2f6241-4861-48d5-b8ca-f0482a4d86b3 |
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