Localization for one-dimensional random potentials with large local fluctuations
| dc.creator | Bienaime, Tom | |
| dc.creator | Texier, Christophe | |
| dc.date | 2008-07-04 | |
| dc.date | 2008-10-27 | |
| dc.date.accessioned | 2026-07-07T10:12:55Z | |
| dc.date.available | 2026-07-07T10:12:55Z | |
| dc.description | We study the localization of wave functions for one-dimensional Schrödinger Hamiltonians with random potentials $V(x)$ with short range correlations and large local fluctuations such that $\int\D{x} \smean{V(x)V(0)}=\infty$. A random supersymmetric Hamiltonian is also considered. Depending on how large the fluctuations of $V(x)$ are, we find either new energy dependences of the localization length, $\ell_\mathrm{loc}\propto{}E/\ln{E}$, $\ell_\mathrm{loc}\propto{}E^{μ/2}$ with $0<μ<2$ or $\ell_\mathrm{loc}\propto\ln^{μ-1}E$ for $μ>1$, or superlocalization (decay of the wave functions faster than a simple exponential). | |
| dc.description | 9 pages, LaTeX, 2 eps figures ; v2: Refs. added, small paragraph added p.4, additional table in conclusion | |
| dc.identifier | https://arxiv.org/abs/0807.0772 | |
| dc.identifier | http://arxiv.org/abs/0807.0772 | |
| dc.identifier | J. Phys. A: Math. Theor. 41 (2008) 475001 | |
| dc.identifier | doi:10.1088/1751-8113/41/47/475001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172349 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Localization for one-dimensional random potentials with large local fluctuations | |
| dc.type | text |