Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians
| dc.creator | Grimm, Uwe | |
| dc.creator | Schreiber, Michael | |
| dc.date | 2002-12-06 | |
| dc.date.accessioned | 2026-07-07T02:48:35Z | |
| dc.date.available | 2026-07-07T02:48:35Z | |
| dc.description | 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. | |
| dc.description | 27 pages, 27 PostScript figures, LaTeX using vch-book.cls | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0212140 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0212140 | |
| dc.identifier | In: Quasicrystals - Structure and Physical Properties, ed. H.-R. Trebin (Wiley-VCH, Weinheim, 2003), pp. 210-235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20462 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Materials Science | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians | |
| dc.type | text |