Deterministic Aperiodic One-Dimensional Systems with All States Extended,One of Which is Periodic

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概要

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• A one-dimensional discrete tight-binding naodel with nearest-neighbour interaction is studied.XVe trse the tr'ans.f'er model with variatble hopping tnatrix eleraaents, here asstrn?ing the t,wo valuest or -t and constant on-site potential. Urader this conditions all the eigenstates are known tobe extended. It is shoxvn that if the distribtrtion of' the off-diagonal uaaatrix elenaents constitutesa deteruninistic aperiodic seqtrence, the eigenstate corresponding to the middle eigenvaltre ispertodic for SOIII(2 choices of the seqtrence, btrt not f'or 2111. The studied seqtrences that turn outto have a periodic middle state are the Thtre-lVIorse sequence, the Rtrdin-Shapiro sequence andtnany of the generalised Thtte-INzIorse seqtrences btrt not for instance the xvell know'n Fibonaccisequence.

• 社団法人日本物理学会の論文
• 1998-05-15

著者

• Riklund R

  Linkoeping Univ. Linkoeping Swe

• Riklund Rolf

  Department Of Physics And Measurement Technology Linloping University

• KINDQUIST Bruno

  Department of Physics and Measurement Technology,Linloping University

• Kindquist Bruno

  Department Of Physics And Measurement Technology Linloping University

• Lindquist Bruno

  Department Of Physics And Measurement Technology Linkoping University

関連論文

• Deterministic Aperiodic One-Dimensional Systems with All States Extended,One of Which is Periodic
• Solitary Wave Propagation in Periodic and Aperiodic Diatomic Toda Lattices

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