Spectral properties of a tight binding Hamiltonian with period doubling potential |
| |
| Authors: | Jean Bellissard Anton Bovier Jean-Michel Ghez |
| |
| Institution: | (1) Centre de Physique Théorique, CNRS, Luminy Case 907, F-13288 Marseille Cedex 9, France;(2) Université de Provence, Marseille, France;(3) Physikalisches Institut, Universität Bonn, W-5300 Bonn, Germany;(4) PHYMAT, Département de Mathématiques, Université de Toulon et du Var, F-83957 La Garde Cedex, France |
| |
| Abstract: | We study a one dimensional tight binding hamiltonian with a potential given by the period doubling sequence. We prove that its spectrum is purely singular continuous and supported on a Cantor set of zero Lebesgue measure, for all nonzero values of the potential strength. Moreover, we obtain the exact labelling of all spectral gaps and compute their widths asymptotically for small potential strength. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
