Reentrant Ferromagnetic Ordering of the Random-Field Heisenberg Model in <i>d &gt; 2</I> Dimensions: Fourier-Legendre Renormalization-Group Theory

dc.authorid Turkoglu, Alpar/0000-0002-3784-1300
dc.authorid Berker, A/0000-0002-5172-2172
dc.authorscopusid 57218647239
dc.authorscopusid 6701401118
dc.contributor.author Tuerkoglu, Alpar
dc.contributor.author Berker, Ahmet Nihat
dc.contributor.author Berker, A. Nihat
dc.contributor.other Electrical-Electronics Engineering
dc.date.accessioned 2024-06-23T21:37:00Z
dc.date.available 2024-06-23T21:37:00Z
dc.date.issued 2024
dc.department Kadir Has University en_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 USA en_US
dc.description Turkoglu, Alpar/0000-0002-3784-1300; Berker, A/0000-0002-5172-2172 en_US
dc.description.abstract The 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.sponsorship Academy of Sciences of Turkey (TUBA) en_US
dc.description.sponsorship Support 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.citationcount 0
dc.identifier.doi 10.1103/PhysRevE.109.014114
dc.identifier.issn 2470-0045
dc.identifier.issn 2470-0053
dc.identifier.issue 1 en_US
dc.identifier.pmid 38366445
dc.identifier.scopus 2-s2.0-85182738092
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1103/PhysRevE.109.014114
dc.identifier.uri https://hdl.handle.net/20.500.12469/5681
dc.identifier.volume 109 en_US
dc.identifier.wos WOS:001158273400010
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Amer Physical Soc en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 0
dc.subject [No Keyword Available] en_US
dc.title Reentrant Ferromagnetic Ordering of the Random-Field Heisenberg Model in <i>d &gt; 2</I> Dimensions: Fourier-Legendre Renormalization-Group Theory en_US
dc.type Article en_US
dc.wos.citedbyCount 0
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