|
|||||
|
|
A note on fractional moments for the one-dimensional continuum Anderson model |
|
| Authors: | Eman Hamza,Gü nter Stolz |
| Affiliation: | a Department of Physics, Faculty of Science, Cairo University, Cairo 12613, Egypt b Department of Mathematics, University of Arizona, 617 N. Santa Rita Avenue, Tucson, AZ 85721, USA c Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294-1170, USA |
| Abstract: | We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fractional moments method. This follows via exponential decay of fractional moments of the Green function, which is shown to hold at arbitrary energy and for any single-site distribution with bounded, compactly supported density. |
| Keywords: | Anderson model Fractional moments method Anderson localization |
| 本文献已被 ScienceDirect 等数据库收录！ | |