Phase Transition Of The Spin-One Square-Lattice Anisotropic Heisenberg Model
| dc.creator | Farnell, D. J. J. | |
| dc.creator | Gernoth, K. A. | |
| dc.creator | Bishop, R. F. | |
| dc.date | 2001-03-15 | |
| dc.date.accessioned | 2026-07-07T02:40:45Z | |
| dc.date.available | 2026-07-07T02:40:45Z | |
| dc.description | The coupled cluster method (CCM) is applied to the spin-one anisotropic Heisenberg antiferromagnet (HAF) on the square lattice at zero temperature using a new high-order CCM ground-state formalism for general quantum spin number ($s \ge 1/2$). The results presented constitute the first such application of this new formalism, and they are shown to be among the most accurate results for the ground-state energy and sublattice magnetisation of this model as yet determined. We ``track'' the solution to the CCM equations at a given level of approximation with respect to the anisotropy parameter, $Δ$, from the trivial Ising limit ($Δ\to \infty$) down to a critical value $Δ_c$, at which point this solution terminates. This behaviour is associated with a phase transition in the system, and hence a primary result of these high-order CCM calculations is that they provide an accurate and unbiased (i.e., {\it ab initio}) estimation of the position of the quantum phase transition point as a function of the anisotropy parameter. Our result is, namely, that this point occurs at (or slightly below) the isotropic Heisenberg point at $Δ=1$, for this model. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0103321 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0103321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17485 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Phase Transition Of The Spin-One Square-Lattice Anisotropic Heisenberg Model | |
| dc.type | text |