Renormalization-Group Theory of the Heisenberg Model in D Dimensions
| dc.authorid | Berker, A/0000-0002-5172-2172 | |
| dc.contributor.author | Tunca, Egemen | |
| dc.contributor.author | Berker, Ahmet Nihat | |
| dc.contributor.author | Berker, A. Nihat | |
| dc.contributor.other | Electrical-Electronics Engineering | |
| dc.date.accessioned | 2023-10-19T15:11:40Z | |
| dc.date.available | 2023-10-19T15:11:40Z | |
| dc.date.issued | 2022 | |
| dc.department-temp | [Tunca, Egemen] Istanbul Univ, TEBIP High Performers Program, Board Higher Educ Turkey, TR-34452 Istanbul, Turkey; [Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkey; [Berker, A. Nihat] TUBITAK Res Inst Fundamental Sci, TR-41470 Gebze, Kocaeli, Turkey; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USA | en_US |
| dc.description.abstract | The classical Heisenberg model has been solved in spatial d dimensions, exactly in d = 1 and by the Migdal-Kadanoff approximation in d > 1, by using a Fourier-Legendre expansion. The phase transition temperatures, the energy densities, and the specific heats are calculated in arbitrary dimension d. Fisher's exact result is recovered in d = 1. The absence of an ordered phase, conventional or algebraic (in contrast to the XY model yielding an algebraically ordered phase) is recovered in d = 2. A conventionally ordered phase occurs at d > 2. This method opens the way to complex-system calculations with Heisenberg local degrees of freedom.(c) 2022 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | TEBIP High Performers Program of the Board of Higher Education of Turkey; Academy of Sciences of Turkey; [T?BA] | en_US |
| dc.description.sponsorship | Acknowledgments Support by the TEBIP High Performers Program of the Board of Higher Education of Turkey and by the Academy of Sciences of Turkey (T?BA) is gratefully acknowledged. | en_US |
| dc.identifier.citationcount | 2 | |
| dc.identifier.doi | 10.1016/j.physa.2022.128300 | en_US |
| dc.identifier.issn | 0378-4371 | |
| dc.identifier.issn | 1873-2119 | |
| dc.identifier.scopus | 2-s2.0-85142763874 | en_US |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1016/j.physa.2022.128300 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12469/5158 | |
| dc.identifier.volume | 608 | en_US |
| dc.identifier.wos | WOS:000912029800001 | en_US |
| dc.identifier.wosquality | Q2 | |
| dc.khas | 20231019-WoS | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Physica A-Statistical Mechanics and Its Applications | 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 | 3 | |
| dc.subject | Hierarchical Lattices | En_Us |
| dc.subject | Phase-Transitions | En_Us |
| dc.subject | Migdal-Kadanoff | En_Us |
| dc.subject | Potts Models | En_Us |
| dc.subject | Spin Systems | En_Us |
| dc.subject | Field | En_Us |
| dc.subject | Hierarchical Lattices | |
| dc.subject | Phase transitions | en_US |
| dc.subject | Phase-Transitions | |
| dc.subject | Spin models | en_US |
| dc.subject | Migdal-Kadanoff | |
| dc.subject | Free energy | en_US |
| dc.subject | Potts Models | |
| dc.subject | Internal energy | en_US |
| dc.subject | Spin Systems | |
| dc.subject | Specific heat | en_US |
| dc.subject | Field | |
| dc.subject | Renormalization-group theory | en_US |
| dc.title | Renormalization-Group Theory of the Heisenberg Model in D Dimensions | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 2 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | db2f6241-4861-48d5-b8ca-f0482a4d86b3 | |
| relation.isAuthorOfPublication.latestForDiscovery | db2f6241-4861-48d5-b8ca-f0482a4d86b3 | |
| relation.isOrgUnitOfPublication | 12b0068e-33e6-48db-b92a-a213070c3a8d | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 12b0068e-33e6-48db-b92a-a213070c3a8d |
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