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 Artun, E. Can
dc.contributor.author Berker, Ahmet Nihat
dc.contributor.author Berker, A. Nihat
dc.contributor.other Electrical-Electronics Engineering
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.citationcount 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.scopus.citedbyCount 1
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
dc.wos.citedbyCount 1
dspace.entity.type Publication
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relation.isOrgUnitOfPublication 12b0068e-33e6-48db-b92a-a213070c3a8d
relation.isOrgUnitOfPublication.latestForDiscovery 12b0068e-33e6-48db-b92a-a213070c3a8d

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