TY - JOUR
T1 - Universalities in one-electron properties of limit quasiperiodic lattices
AU - Endou, Rihei
AU - Niizeki, Komajiro
AU - Fujita, Nobuhisa
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/4/2
Y1 - 2004/4/2
N2 - We investigate one-electron properties of one-dimensional self-similar 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 multi-fractal characters of the energy spectra are universal. (2) The supports of the f (α)-spectra extend over the whole unit interval, [0, 1]. (3) There exist marginal critical states.
AB - We investigate one-electron properties of one-dimensional self-similar 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 multi-fractal characters of the energy spectra are universal. (2) The supports of the f (α)-spectra extend over the whole unit interval, [0, 1]. (3) There exist marginal critical states.
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U2 - 10.1088/0305-4470/37/13/L01
DO - 10.1088/0305-4470/37/13/L01
M3 - Article
AN - SCOPUS:1842767353
VL - 37
SP - L151-L156
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 13
ER -