Universalities in one-electron properties of limit quasiperiodic lattices

Rihei Endou; Komajiro Niizeki; Nobuhisa Fujita

doi:10.1088/0305-4470/37/13/L01

Universalities in one-electron properties of limit quasiperiodic lattices

Rihei Endou, Komajiro Niizeki, Nobuhisa Fujita

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	L151-L156
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	13
DOIs	https://doi.org/10.1088/0305-4470/37/13/L01
Publication status	Published - 2004 Apr 2
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/37/13/L01

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AU - Niizeki, Komajiro

AU - Fujita, Nobuhisa

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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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Universalities in one-electron properties of limit quasiperiodic lattices

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