Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry
| dc.creator | Biskup, Marek | |
| dc.creator | Chayes, Lincoln | |
| dc.creator | Kivelson, Steven A. | |
| dc.date | 2003-10-01 | |
| dc.date | 2004-05-07 | |
| dc.date.accessioned | 2026-07-07T04:30:36Z | |
| dc.date.available | 2026-07-07T04:30:36Z | |
| dc.description | We present a rigorous proof of an ordering transition for a two-component two-dimensional antiferromagnet with nearest and next-nearest neighbor interactions. The low-temperature phase contains two states distinguished by local order among columns or, respectively, rows. Overall, there is no magnetic order in accord with the classic Mermin-Wagner theorem. The method of proof employs a rigorous version of "order by disorder," whereby a high degeneracy among the ground states is lifted according to the differences in their associated spin-wave spectra. | |
| dc.description | 22 pages, 1 eps fig | |
| dc.identifier | https://arxiv.org/abs/math-ph/0310001 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0310001 | |
| dc.identifier | Ann. Henri Poincaré 5 (2004), no. 6, 1181-1205 | |
| dc.identifier | doi:10.1007/s00023-004-0196-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57518 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Probability | |
| dc.subject | 82B05; 82B26; 60F10 | |
| dc.title | Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry | |
| dc.type | text |