Exact Diag. Study of the 1D Disordered XXZ Model
| dc.creator | Runge, K. J. | |
| dc.creator | Zimanyi, G. T. | |
| dc.date | 1993-12-01 | |
| dc.date.accessioned | 2026-07-07T03:06:59Z | |
| dc.date.available | 2026-07-07T03:06:59Z | |
| dc.description | We investigate the one-dimensional quantum $XXZ$ model in the presence of diagonal disorder. Recently the model has been analyzed with the help of field-theoretical renormalization group methods, and a phase diagram has been predicted. We study the model with exact diagonalization techniques up to chain lengths of 16 sites. Using finite-size scaling methods we estimate critical exponents and the phase diagram and find reasonably good agreement with the field-theoretical results, namely, that any amount of disorder destroys the superfluidity for $XXZ$ anisotropy $Δ$ between $ -1/2 $ and $1$, while the superfluidity persists to finite disorder strength for $ -1 < Δ< -1/2$ and then undergoes a Kosterlitz-Thouless type transition. | |
| dc.description | 23 pages, 18 PostScript figures (4 per page) avail. upon request or via anonymous ftp to redhook.llnl.gov:/pub/runge REVTeX 3.0, UCD Report | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9312002 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9312002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27015 | |
| dc.subject | Condensed Matter | |
| dc.title | Exact Diag. Study of the 1D Disordered XXZ Model | |
| dc.type | text |