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Grimm, Uwe and Schreiber, Michael
(2003).
DOI: https://doi.org/10.1002/3527606572.ch3
URL: http://uk.arxiv.org/abs/cond-mat/0212140
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.
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About
- Item ORO ID
- 8237
- Item Type
- Book Section
- ISBN
- 3-527-40399-X, 978-3-527-40399-8
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Depositing User
- Uwe Grimm