Grimm, Uwe and Schreiber, Michael
(2003).
| URL: | http://uk.arxiv.org/abs/cond-mat/0212140 |
|---|---|
| DOI (Digital Object Identifier) Link: | https://doi.org/10.1002/3527606572.ch3 |
| Google Scholar: | Look up in Google Scholar |
Abstract
Analytic and numerical results for quasiperiodic tight-binding models are reviewed, with emphasis on two and three-dimensional models which so far are beyond a mathematically rigorous treatment. In particular, we consider energy spectra of aperiodic tight-binding models and the corresponding level statistics, which are well reproduced by random matrix theory. The eigenstates are characterised by multifractal analysis, and a construction of peculiar multifractal states on the Penrose tiling is discussed. We also consider quantum diffusion, and present some results on interacting electron systems in one dimension.
| Item Type: | Book Section |
|---|---|
| ISBN: | 3-527-40399-X, 978-3-527-40399-8 |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Item ID: | 8237 |
| Depositing User: | Uwe Grimm |
| Date Deposited: | 28 Jun 2007 |
| Last Modified: | 07 Dec 2018 09:04 |
| URI: | http://oro.open.ac.uk/id/eprint/8237 |
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