Anomalous dynamics in two- and three- dimensional Heisenberg-Mattis spin glasses
| dc.creator | de Queiroz, S. L. A. | |
| dc.creator | Stinchcombe, R. B. | |
| dc.date | 2006-03-02 | |
| dc.date.accessioned | 2026-07-07T07:02:04Z | |
| dc.date.available | 2026-07-07T07:02:04Z | |
| dc.description | We investigate the spectral and localization properties of unmagnetized Heisenberg-Mattis spin glasses, in space dimensionalities $d=2$ and 3, at T=0. We use numerical transfer-matrix methods combined with finite-size scaling to calculate Lyapunov exponents, and eigenvalue-counting theorems, coupled with Gaussian elimination algorithms, to evaluate densities of states. In $d=2$ we find that all states are localized, with the localization length diverging as $ω^{-1}$, as energy $ω\to 0$. Logarithmic corrections to density of states behave in accordance with theoretical predictions. In $d=3$ the density-of-states dependence on energy is the same as for spin waves in pure antiferromagnets, again in agreement with theoretical predictions, though the corresponding amplitudes differ. | |
| dc.description | RevTeX4, 9 pages, 9 .eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0603043 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0603043 | |
| dc.identifier | Physical Review B 73, 214421 (2006) | |
| dc.identifier | doi:10.1103/PhysRevB.73.214421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108476 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Anomalous dynamics in two- and three- dimensional Heisenberg-Mattis spin glasses | |
| dc.type | text |