Numerical study of the antiferromagnetic Ising model on a hypersphere
| dc.creator | Olivi-Tran, N. | |
| dc.creator | Paredes, R. V. | |
| dc.date | 2005-04-06 | |
| dc.date.accessioned | 2026-07-07T05:54:34Z | |
| dc.date.available | 2026-07-07T05:54:34Z | |
| dc.description | We built a model where all spins are in interaction with each other via an antiferromagnetic Ising Hamiltonian. The geometry of such a model is a tetrahedron placed on a hypersphere in spaces of dimensions enclosed between 1 and 9. Due to confinement and to the fact that all spins interact which each other, our spin system exhibit frustration. The temperatures of the observed antiferro-paramagnetic transitions are equal for all space dimensions to one of two given values depending on the parity of the space dimension. Moreover, the order parameter $<m>$, i.e. the magnetization of the system, has been also studied. | |
| dc.description | 5 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0504041 | |
| dc.identifier | http://arxiv.org/abs/physics/0504041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/87008 | |
| dc.subject | Computational Physics | |
| dc.title | Numerical study of the antiferromagnetic Ising model on a hypersphere | |
| dc.type | text |