New Invariant Surface and the Absence of Localization in the Ternary Fibonacci Lattice

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概要

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• We derive a new non-compact surface that is invariant under the trace map for the ternary Fibonacci lattice, which is constructed by a substitution scheme of three letters : A→ABC, B→A, C→B. Here the trace map is given by a six-dimensional dynamical map. The invariant surface is of the fourth degree and exists in R^6. The existence of such surface is relevant to prove whether or not all the states in the spectrum be-long to critical states, where the wave function is self-similar on fractal . At the center of the bands it has been known that there is a four cycle. It is proved from the four-fold symmetry of the manifold.

• 社団法人日本物理学会の論文
• 1994-01-15

著者

• Su Hong

  The Institute Of Physical And Chemical Research (riken)

• 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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