Level density of spin chains of Haldane-Shastry type
| dc.contributor.author | Enciso, Alberto | |
| dc.contributor.author | Finkel Morgenstern, Federico | |
| dc.contributor.author | González López, Artemio | |
| dc.date.accessioned | 2023-06-20T03:55:22Z | |
| dc.date.available | 2023-06-20T03:55:22Z | |
| dc.date.issued | 2010-11-15 | |
| dc.description | ©2010 The American Physical Society. This work was supported in part by the MICINN and the UCM–Banco Santander under Grants No. FIS2008-00209 and No. GR58/08-910556. The authors would also like to thank Gabriel Álvarez for some useful discussions, and the anonymous referees of a previous version of this paper for their helpful suggestions. | |
| dc.description.abstract | We provide a rigorous proof of the fact that the level density of all known su (m) spin chains of Haldane-Shastry type associated with the A(N-1) root system approaches a Gaussian distribution as the number of spins N tends to infinity. Our approach is based on the study of the large-N limit of the characteristic function of the level density, using the description of the spectrum in terms of motifs and the asymptotic behavior of the transfer matrix. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | MICINN | |
| dc.description.sponsorship | UCM–Banco Santander | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/31279 | |
| dc.identifier.doi | 10.1103/PhysRevE.82.051117 | |
| dc.identifier.issn | 1539-3755 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevE.82.051117 | |
| dc.identifier.relatedurl | http://journals.aps.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/44673 | |
| dc.issue.number | 5 | |
| dc.journal.title | Physical review E | |
| dc.language.iso | eng | |
| dc.page.initial | Part 1 | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | FIS2008-00209 | |
| dc.relation.projectID | GR58/08-910556 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Level density of spin chains of Haldane-Shastry type | |
| dc.type | journal article | |
| dc.volume.number | 82 | |
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| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication | 7f260dbe-eebb-4d43-8ba9-d8fbbd5b32fc | |
| relation.isAuthorOfPublication.latestForDiscovery | 207092a4-0443-4336-a037-15936f8acc25 |
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