dc.contributor.author | Tunca, Egemen | |
dc.contributor.author | Berker, A. Nihat | |
dc.date.accessioned | 2023-10-19T15:11:40Z | |
dc.date.available | 2023-10-19T15:11:40Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 0378-4371 | |
dc.identifier.issn | 1873-2119 | |
dc.identifier.uri | https://doi.org/10.1016/j.physa.2022.128300 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12469/5158 | |
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.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Physica A-Statistical Mechanics and Its Applications | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
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 | Phase transitions | en_US |
dc.subject | Spin models | en_US |
dc.subject | Free energy | en_US |
dc.subject | Internal energy | en_US |
dc.subject | Specific heat | en_US |
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.authorid | Berker, A/0000-0002-5172-2172 | |
dc.identifier.volume | 608 | en_US |
dc.department | N/A | en_US |
dc.identifier.wos | WOS:000912029800001 | en_US |
dc.identifier.doi | 10.1016/j.physa.2022.128300 | en_US |
dc.identifier.scopus | 2-s2.0-85142763874 | en_US |
dc.institutionauthor | N/A | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.khas | 20231019-WoS | en_US |