Gap's in the antiferromagnetic Heisenberg model
| dc.creator | Fledderjohann, A. | |
| dc.creator | Karbach, M. | |
| dc.creator | Mütter, K. -H. | |
| dc.date | 1998-09-04 | |
| dc.date.accessioned | 2026-07-07T03:11:28Z | |
| dc.date.available | 2026-07-07T03:11:28Z | |
| dc.description | We study the one-dimensional spin-1/2 antiferromagnetic Heisenberg model exposed to an external field, which is a superposition of a homogeneous field $h_{3}$ and a small periodic field of strength $h_{1}$. For the case of a transverse staggered field a gap opens, which scales with $h_{1}^{ε_{1}}$, where $ε_{1}=ε_{1}(h_{3})$ is given by the critical exponent $η_{1}(M(h_{3}))$ defined through the transverse structure factor of the model at $h_{1}=0$. For the case of a longitudinal periodic field with wave vector $q=π/2$ and strength $h_{q}$ a plateau is found in the magnetization curve at $M=1/4$. The difference of the upper- and lower magnetic field scales with $h_{3}^{u}-h_{3}^{l}\sim h_{q}^{ε_{3}}$, where $ε_{3}=ε_{3}(h_{3})$ is given by the critical exponent $η_{3}(M(h_{3}))$ defined through the longitudinal structure factor of the model at $h_{q}=0$. | |
| dc.description | 7 pages, 6 figures, LaTeX-class svjour from Springer; to be published in Eur. Phys. J. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9809086 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9809086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28584 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Gap's in the antiferromagnetic Heisenberg model | |
| dc.type | text |