Universalities in One-electron Properties of Limit Quasi-periodic Lattices

Details Universalities in One-electron Properties of Limit Quasi-periodic Lattices Universalities in One-electron Properties of Limit Quasi-periodic Lattices

2003-10-20

arxiv.org/abs/cond-mat/0310450v1

Physics

Condensed Matter

Materials Science

4 pages, 2figures

Scientific paper

10.1088/0305-4470/37/13/L01

We investigate one-electron properties of one-dimensional self-similar structures called limit quasi-periodic lattices. The trace map of such a lattice is nonconservative in contrast to the quasi-periodic 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 multi-fractal characters of the energy spectra are {\it universal}. 2) The supports of the $f(\alpha)$-spectra extend over the whole unit interval, $[0, 1]$. 3) There exist marginal critical states.

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