Lower critical dimension of the random-field XY model and the zero-temperature critical line
dc.authorid | Berker, A/0000-0002-5172-2172 | |
dc.contributor.author | Berker, Ahmet Nihat | |
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.department-temp | [Akin, Kutay] Bogazici Univ, Dept Elect & Elect Engn, TR-34342 Istanbul, Turkey; [Akin, Kutay] Bogazici Univ, Dept Phys, TR-34342 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 Kocaeli, Turkey; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USA | en_US |
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.identifier.citation | 6 | |
dc.identifier.doi | 10.1103/PhysRevE.106.014151 | en_US |
dc.identifier.issn | 2470-0045 | |
dc.identifier.issn | 2470-0053 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.pmid | 35974548 | en_US |
dc.identifier.scopus | 2-s2.0-85136330009 | en_US |
dc.identifier.scopusquality | Q1 | |
dc.identifier.uri | https://doi.org/10.1103/PhysRevE.106.014151 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12469/5076 | |
dc.identifier.volume | 106 | en_US |
dc.identifier.wos | WOS:000835312400003 | en_US |
dc.identifier.wosquality | Q1 | |
dc.khas | 20231019-WoS | en_US |
dc.language.iso | en | en_US |
dc.publisher | Amer Physical Soc | en_US |
dc.relation.ispartof | Physical Review E | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | 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.subject | Hierarchical Lattices | |
dc.subject | Phase-Transitions | |
dc.subject | Critical-Behavior | |
dc.subject | Spin Systems | |
dc.subject | Ising-Model | |
dc.subject | Renormalization | |
dc.title | Lower critical dimension of the random-field XY model and the zero-temperature critical line | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | db2f6241-4861-48d5-b8ca-f0482a4d86b3 | |
relation.isAuthorOfPublication.latestForDiscovery | db2f6241-4861-48d5-b8ca-f0482a4d86b3 |
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