A Study of the Power Law Resistance in a Fibonacci Lattice

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概要

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• The power law with respect to length n is studied numerically in detail mainly forthe resistance ran, 7') (A: energy) averaged over subsystems (denoted by ( >.) of sizen of a Fibonacci lattice,<.r(n, A)).c(n"""' exp {7l?(A)n}. Tlte Lyapunov exponentB(E) and the mean value (< >,) of the exponent of power ft.(E, /) have a fractalstructure with respect to energy which corresponds to that of the energy spectrum.Both are energy sensitive. The possibility of finding a power law in conductivity withrespect to temperature (at low temperatures) is discussed in view of a stability of boththe mean value of the exponent of power<,p.(E, /)>, and the exponent of powerp.(E, n, co) for each sample co over an energy interval k.T.[power law, Fibonacci lattice, quasi crystal, singular continuous spectrum, lj transport property, Landauer formula, conduct,ance fluctuationl

• 社団法人日本物理学会の論文
• 1989-06-15

著者

• GODA Masaki

  Faculty of Engineering, Niigata University

• Goda Masaki

  Faculty Of Engeneering Niigata University

• KUBO Haruhiko

  Graduate School of Science and Technology,Niigata University

• Kubo Haruhiko

  Graduate School Of Science And Technology Niigata University

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