Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States
| dc.creator | Skrypnik, Wolodymyr | |
| dc.date | 2006-01-27 | |
| dc.date.accessioned | 2026-07-07T09:34:23Z | |
| dc.date.available | 2026-07-07T09:34:23Z | |
| dc.description | A class of general spin 1/2 lattice models on hyper-cubic lattice $Z^d$, whose Hamiltonians are sums of two functions depending on the Pauli matrices $S^1$, $S^2$ and $S^3$, respectively, are found, which have Gibbsian eigen (ground) states and two order parameters for two spin components $x$, $z$ simultaneously for large values of the parameter $α$ playing the role of the inverse temperature. It is shown that the ferromagnetic order in $x$ direction exists for all dimensions $d\geq 1$ for a wide class of considered models (a proof is remarkably simple). | |
| dc.description | Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math-ph/0601060 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0601060 | |
| dc.identifier | SIGMA 2 (2006), 011, 6 pages | |
| dc.identifier | doi:10.3842/SIGMA.2006.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159476 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States | |
| dc.type | text |