dc.contributor.author | Akin, Kutay | |
dc.contributor.author | Berker, A. Nihat | |
dc.date.accessioned | 2023-10-19T15:11:33Z | |
dc.date.available | 2023-10-19T15:11:33Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 2470-0045 | |
dc.identifier.issn | 2470-0053 | |
dc.identifier.uri | https://doi.org/10.1103/PhysRevE.106.014151 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12469/5076 | |
dc.description.abstract | The random-field XY model is studied in spatial dimensions d = 3 and 4, and in between, as the limit q -> infinity of the q-state clock models, by the exact renormalization-group solution of the hierarchical lattice or, equivalently, the Migdal-Kadanoff approximation to the hypercubic lattices. The lower critical dimension is determined between 3.81 < d(c) < 4. When the random field is scaled with q, a line segment of zero-temperature criticality is found in d = 3. When the random field is scaled with q(2), a universal phase diagram is found at intermediate temperatures in d = 3. | 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. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Amer Physical Soc | en_US |
dc.relation.ispartof | Physical Review E | 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 | Critical-Behavior | En_Us |
dc.subject | Spin Systems | En_Us |
dc.subject | Ising-Model | En_Us |
dc.subject | Renormalization | En_Us |
dc.title | Lower critical dimension of the random-field XY model and the zero-temperature critical line | en_US |
dc.type | article | en_US |
dc.authorid | Berker, A/0000-0002-5172-2172 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.volume | 106 | en_US |
dc.department | N/A | en_US |
dc.identifier.wos | WOS:000835312400003 | en_US |
dc.identifier.doi | 10.1103/PhysRevE.106.014151 | en_US |
dc.identifier.scopus | 2-s2.0-85136330009 | en_US |
dc.institutionauthor | N/A | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.pmid | 35974548 | en_US |
dc.khas | 20231019-WoS | en_US |