Multifractal Wave Functions of a System with a Monofractal Energy Spectrum
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概要
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We show the appearance of multifractal wave functions on a one-dimensional quasiperiodic system that has a monofractal energy spectrum. Using the Mantica technique, we construct the model as an inverse problem from the energy spectrum of a pure Cantor set. The particle--hole symmetry and a relationship between the critical state and the information dimension are proved. This relationship is applied to the finite-size multifractal analysis of the wave functions.
- 2011-07-15
著者
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Tasaki Shuichi
Department Of Applied Physics School Of Science And Engineering Waseda University
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Tashima Masayuki
Department of Applied Physics, Waseda University, Shinjuku, Tokyo 169-8555, Japan
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Tasaki Shuichi
Department of Applied Physics, Waseda University, Shinjuku, Tokyo 169-8555, Japan
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