Electronic Structure of One-Dimensional Quasiperiodic Materials of AB_<1-x>C_x

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概要

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• The electronic spectrum of one-dimensional quasiperiodic materials such as AB_<1-x>C_x(0 ≤ x ≤ 1) is calculated herein within the framework of the off-diagonal tight-binding model by using a simple scheme of the theory of the binary quasiperiodic lattices. The spectrum shows a Cantor-set of energy bands and consists of a center band gap for the whole range of x. We find that unless the potential difference is too strong, the magnitude of the center band gap Δ_x is interpolated by a Vegard's law type linear relation with respect to x as Δ_x=(1-x)Δ_<ab>+xΔ_<ac>, where Δ_<ab> (Δ_<ac>) is the band gap for the regular AB (AC) alloy. This means that this system is a semi-conductor for 0 ≤ x ≤ 1. We also show that the center gap follows the Saxon-Hutner-Luttinger theorem.

• 社団法人日本物理学会の論文
• 1995-01-15

著者

• Iguchi Kazumoto

  The Institute of Physical and Chemical Research (RIKEN)

関連論文

• New Invariant Surface and the Absence of Localization in the Ternary Fibonacci Lattice
• Electronic Structure of One-Dimensional Quasiperiodic Materials of AB_C_x

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