Reentrant ferromagnetic ordering of the random-field Heisenberg model in <i>d &gt; 2</i> dimensions: Fourier-Legendre renormalization-group theory

dc.authoridTurkoglu, Alpar/0000-0002-3784-1300
dc.authoridBerker, A/0000-0002-5172-2172
dc.authorscopusid57218647239
dc.authorscopusid6701401118
dc.contributor.authorBerker, Ahmet Nihat
dc.contributor.authorBerker, A. Nihat
dc.date.accessioned2024-06-23T21:37:00Z
dc.date.available2024-06-23T21:37:00Z
dc.date.issued2024
dc.departmentKadir Has Universityen_US
dc.department-temp[Tuerkoglu, Alpar] Bogazici Univ, Dept Phys Bebek, TR-34342 Istanbul, Turkiye; [Tuerkoglu, Alpar] Bogazici Univ, Dept Elect Engn & Elect, TR 34342 Istanbul, Turkiye; [Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Cibali Fatih Istanbul, Turkiye; [Berker, A. Nihat] TUBITAK, Res Inst Basic Sci, TR-41470 Gebze, Turkiye; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USAen_US
dc.descriptionTurkoglu, Alpar/0000-0002-3784-1300; Berker, A/0000-0002-5172-2172en_US
dc.description.abstractThe random-magnetic-field classical Heisenberg model is solved in spatial dimensions d >= 2 using the recently developed Fourier-Legendre renormalization-group theory for 47r steradians continuously orientable spins, with renormalization-group flows of 12 500 variables. The random-magnetic-field Heisenberg model is exactly solved in 10 hierarchical models, for d = 2, 2.26, 2.46, 2.58, 2.63, 2.77, 2.89, 3. For nonzero random fields, ferromagnetic order is seen ford > 2. This ordering, at d = 2.46, 2.58, 2.63, 2.77, 2.89, 3, shows reentrance as a function of temperature.en_US
dc.description.sponsorshipAcademy of Sciences of Turkey (TUBA)en_US
dc.description.sponsorshipSupport by the Academy of Sciences of Turkey (TUBA) is gratefully acknowledged. We are grateful to Egemen Tunca for very useful discussions.en_US
dc.identifier.citation0
dc.identifier.doi10.1103/PhysRevE.109.014114
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.issue1en_US
dc.identifier.pmid38366445
dc.identifier.scopus2-s2.0-85182738092
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1103/PhysRevE.109.014114
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5681
dc.identifier.volume109en_US
dc.identifier.wosWOS:001158273400010
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherAmer Physical Socen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject[No Keyword Available]en_US
dc.titleReentrant ferromagnetic ordering of the random-field Heisenberg model in <i>d &gt; 2</i> dimensions: Fourier-Legendre renormalization-group theoryen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationdb2f6241-4861-48d5-b8ca-f0482a4d86b3
relation.isAuthorOfPublication.latestForDiscoverydb2f6241-4861-48d5-b8ca-f0482a4d86b3

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