Critical and off-critical properties of the $XXZ$ chain in external homogeneous and staggered magnetic fields
| dc.creator | Alcaraz, F. C. | |
| dc.creator | Malvezzi, A. L. | |
| dc.date | 1994-07-12 | |
| dc.date.accessioned | 2026-07-07T03:07:20Z | |
| dc.date.available | 2026-07-07T03:07:20Z | |
| dc.description | The phase diagram of the $XXZ$ chain under the influence of homogeneous and staggered magnetic fields is calculated. The model has a rich phase structure with three types of phases. A fully ferromagnetic phase, an antiferromagnetic phase and a massless phase with partial ferromagnetic and antiferromagnetic order. This massless phase has its critical fluctuations governed by a conformal field theory with central charge $c=1$. When the $σ^{z}$-anisotropy $Δ$ is zero the model is exactly integrable through a Jordan-Wigner fermionization and our results are analytic. For $Δ\neq 0 $ our analysis are done numerically using lattice sizes up to $M=20$. Our results shows that for $-1 \geq Δ\geq \frac{\sqrt{2}}{2}$ the staggered magnetic field perturbation is relevant and for $1 \leq Δ\leq \frac{\sqrt{2}}{2}$ it is irrelevant. In the region of relevant perturbations we show that the massive continuum field theory associated to the model has the same mass spectrum as the sine-Gordon model. | |
| dc.description | 20 pages, standard Latex, 5 Figures on request, DFUFSCar-TH-4 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9407050 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9407050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27137 | |
| dc.subject | Condensed Matter | |
| dc.title | Critical and off-critical properties of the $XXZ$ chain in external homogeneous and staggered magnetic fields | |
| dc.type | text |