Reentrant Ferromagnetic Ordering of the Random-Field Heisenberg Model in <i>d > 2</I> Dimensions: Fourier-Legendre Renormalization-Group Theory
| dc.contributor.author | Tuerkoglu, Alpar | |
| dc.contributor.author | Berker, A. Nihat | |
| dc.date.accessioned | 2024-06-23T21:37:00Z | |
| dc.date.available | 2024-06-23T21:37:00Z | |
| dc.date.issued | 2024 | |
| 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.scopus | 2-s2.0-85182738092 | |
| dc.identifier.uri | https://doi.org/10.1103/PhysRevE.109.014114 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12469/5681 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Physical Soc | en_US |
| dc.relation.ispartof | Physical review. E | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | Reentrant Ferromagnetic Ordering of the Random-Field Heisenberg Model in <i>d > 2</I> Dimensions: Fourier-Legendre Renormalization-Group Theory | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Turkoglu, Alpar/0000-0002-3784-1300 | |
| gdc.author.id | Berker, A/0000-0002-5172-2172 | |
| gdc.author.institutional | Berker, Ahmet Nihat | |
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| gdc.description.department | Kadir Has University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 109 | en_US |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Disordered Systems and Neural Networks (cond-mat.dis-nn) | |
| gdc.oaire.keywords | Condensed Matter - Disordered Systems and Neural Networks | |
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