Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method
| dc.creator | Krcmar, Roman | |
| dc.creator | Gendiar, Andrej | |
| dc.creator | Ueda, Kouji | |
| dc.creator | Nishino, Tomotoshi | |
| dc.date | 2007-12-04 | |
| dc.date | 2008-01-24 | |
| dc.date.accessioned | 2026-07-07T09:29:02Z | |
| dc.date.available | 2026-07-07T09:29:02Z | |
| dc.description | We study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5), hexagons (p=6), etc. Such lattices are on hyperbolic planes, which have constant negative scalar curvatures. We calculate critical temperatures and scaling exponents by use of the corner transfer matrix renormalization group method. As a result, the mean-field like phase transition is observed for all the cases p>=5. Convergence of the calculated transition temperatures with respect to p is investigated towards the limit p->infinity, where the system coincides with the Ising model on the Bethe lattice. | |
| dc.description | 9 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/0712.0461 | |
| dc.identifier | http://arxiv.org/abs/0712.0461 | |
| dc.identifier | J. Phys. A: Math. Theor. 41 (2008) 125001 | |
| dc.identifier | doi:10.1088/1751-8113/41/12/125001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157644 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method | |
| dc.type | text |