LETTER TO THE EDITOR: Universalities in oneelectron properties of limit quasiperiodic lattices
Abstract
We investigate oneelectron properties of onedimensional selfsimilar structures called limit quasiperiodic lattices. The trace map of such a lattice is nonconservative in contrast to the quasiperiodic case, and we can determine the structure of its attractor. It allows us to obtain the three new features of the present system: (1) The multifractal characters of the energy spectra are universal. (2) The supports of the f(agr)spectra extend over the whole unit interval, [0, 1]. (3) There exist marginal critical states.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 2004
 DOI:
 10.1088/03054470/37/13/L01
 arXiv:
 arXiv:condmat/0310450
 Bibcode:
 2004JPhA...37L.151E
 Keywords:

 Condensed Matter  Materials Science
 EPrint:
 4 pages, 2figures