Energy Spectrum and the Critical Wavefunctions of the Quasiperiodic Harper Equation : the Silver Mean Case
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概要
- 論文の詳細を見る
The one-dimentional quasiperiodic tight-binding model is -Ψ_<n+1>-Ψ_<n-1>+λV(nω)Ψ_n=EΨ_n, where ω is an irrational number and V is a periodic function, i.e., V(x+1)=V(x). In the Harper model V(nω)=cos (2πnω), all the states are critical at the critical coupling λ_c=2. The critical properties of the spectrum and the wavefunctions for ω=√<2>-1(the inverse of the silver mean) are numerically studied by the scaling and multifractal methods. The results are compared with the golden mean case ω=(√<5>-1)/2. Some universal properties are proposed.
- 社団法人日本物理学会の論文
- 1994-06-15
著者
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Kohmoto Mahito
Institute for Solid State Physics, University of Tokyo
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Kohmoto Mahito
Institute For Solid State Physics The University Of Tokyo
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Ikezawa Kazuhiro
Institute for Solid State Physics, University of Tokyo
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Ikezawa Kazuhiro
Institute For Solid State Physics University Of Tokyo
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