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 -