Statistics of Spectra for One-dimensional Quasi-Periodic Systems at the Metal-Insulator Transition
| dc.creator | Takada, Yoshihiro | |
| dc.creator | Ino, Kazusumi | |
| dc.creator | Yamanaka, Masanori | |
| dc.date | 2003-12-26 | |
| dc.date.accessioned | 2026-07-07T02:55:37Z | |
| dc.date.available | 2026-07-07T02:55:37Z | |
| dc.description | We study spectral statistics of one-dimensional quasi-periodic systems at the metal-insulator transition. Several types of spectral statistics are observed at the critical points, lines, and region. On the critical lines, we find the bandwidth distribution $P_B(w)$ around the origin (in the tail) to have the form of $P_B(w) \sim w^α$ ($P_B(w) \sim e^{-βw^γ}$) ($α, β, γ> 0 $), while in the critical region $P_B(w) \sim w^{-α'}$ ($α' > 0$). We also find the level spacing distribution to follow an inverse power law $P_G(s) \sim s^{- δ}$ ($δ> 0$) | |
| dc.description | RevTex, 5 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0312650 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0312650 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23004 | |
| dc.subject | Condensed Matter | |
| dc.title | Statistics of Spectra for One-dimensional Quasi-Periodic Systems at the Metal-Insulator Transition | |
| dc.type | text |