| Автор | Thomas Rieth |
| Автор | Michael Schreiber |
| Дата выпуска | 1998-02-02 |
| dc.description | We study the electronic eigenstates on two- and three-dimensional quasiperiodic lattices using a tight-binding Hamiltonian in the vertex model. In particular, we analyse how a quasiperiodic lattice influences the decay form and the self-similar structure of the wave functions. The investigation of the earlier-suggested power-law localization is performed by calculating participation numbers and the structural entropy of the wave function. We also present results for the multifractal analysis of the eigenstates by a standard box-counting method. The eigenstates of the two-dimensional Penrose lattice display multifractal character. In contrast, most eigenstates of the three-dimensional Amman-Kramer lattice are shown to be extended; localized states occur only in the band tails, where the spectrum appears to be fractal. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Numerical investigation of electronic wave functions in quasiperiodic lattices |
| Тип | paper |
| DOI | 10.1088/0953-8984/10/4/008 |
| Electronic ISSN | 1361-648X |
| Print ISSN | 0953-8984 |
| Журнал | Journal of Physics: Condensed Matter |
| Том | 10 |
| Первая страница | 783 |
| Последняя страница | 800 |
| Аффилиация | Thomas Rieth; Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany |
| Аффилиация | Michael Schreiber; Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany |
| Выпуск | 4 |
