Some properties for the low-lying spectrum of the ferromagnetic, quantum XXZ spin system
| dc.creator | Starr, Shannon | |
| dc.date | 2001-06-23 | |
| dc.date.accessioned | 2026-07-07T04:28:32Z | |
| dc.date.available | 2026-07-07T04:28:32Z | |
| dc.description | In this thesis we present three results about the ferromagnetic quantum XXZ model: 1) Existence of a spectral gap above all infinite-volume ground states in one dimension for any choice of spin S>1/2 (for S=1/2 this was already known); 2) Characterization of one-dimensional "droplet" states as ground states of the spin-1/2 model with up spin boundary fields; 3) An upper bound for the spectral gap above the spin-1/2 interface ground states in dimension two and higher. The upper bound vanishes as 1/R^2, where R is the linear size of the system. This thesis contains research performed in collboration with other authors: O. Bolina, P. Contucci, T. Koma, B. Nachtergaele. | |
| dc.description | 221 pages, 22 figures, contains one Matlab script and one Mathematica script "in the source" | |
| dc.identifier | https://arxiv.org/abs/math-ph/0106024 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0106024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56822 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B10; 82B24; 82B40 | |
| dc.title | Some properties for the low-lying spectrum of the ferromagnetic, quantum XXZ spin system | |
| dc.type | text |