Reentrant ferromagnetic ordering of the random-field Heisenberg model in d>2 dimensions: Fourier-Legendre renormalization-group theory.
| Title: | Reentrant ferromagnetic ordering of the random-field Heisenberg model in d>2 dimensions: Fourier-Legendre renormalization-group theory. |
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| Authors: | Türkoğlu A; Department of Physics, Boğaziçi University, Bebek, Istanbul 34342, Turkey.; Department of Electrical and Electronics Engineering, Boğaziçi University, Bebek, Istanbul 34342, Turkey.; Berker AN; Faculty of Engineering and Natural Sciences, Kadir Has University, Cibali, Istanbul 34083, Turkey.; TÜBITAK Research Institute for Basic Sciences, Gebze, Kocaeli 41470, Turkey.; Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. |
| Source: | Physical review. E [Phys Rev E] 2024 Jan; Vol. 109 (1-1), pp. 014114. |
| Publication Type: | Journal Article |
| Language: | English |
| Journal Info: | Publisher: American Physical Society Country of Publication: United States NLM ID: 101676019 Publication Model: Print Cited Medium: Internet ISSN: 2470-0053 (Electronic) Linking ISSN: 24700045 NLM ISO Abbreviation: Phys Rev E Subsets: MEDLINE; PubMed not MEDLINE |
| Imprint Name(s): | Original Publication: Ridge, NY : American Physical Society, [2016]- |
| 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 4π 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 for d>2. This ordering, at d=2.46,2.58,2.63,2.77,2.89,3, shows reentrance as a function of temperature. |
| Entry Date(s): | Date Created: 20240217 Latest Revision: 20240217 |
| Update Code: | 20260130 |
| DOI: | 10.1103/PhysRevE.109.014114 |
| PMID: | 38366445 |
| Database: | MEDLINE |
Journal Article