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Transition from Multifractal to Pure Fractal Spectrum in a Quasiperiodic Hamiltonian | | Gerardo G. Naumis
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12 Jun 2006 | | Subject: | Disordered Systems and Neural Networks | | Abstract: | In many systems, the electronic energy spectrum is a continuous or singular continuous multifractal set with a distribution of scaling exponents. Here, we show that for a quasiperiodic potential, the energy spectrum can make a transition from a multifractal to a pure fractal set, in which there is only one scaling exponent. This is made by carefully tuning the ratio between self-energies in a tigth-binding Hamiltonian defined in a quasiperiodic Fibonacci chain. The tuning is achieved by making equal the scaling exponents of the cycles that appear in a trace map that generates the spectrum. The diffusion of electronic wave packets reflect the pure fractal nature of the spectrum. The present result allows to simplify the task of studying several problems in quasiperiodic systems, since the effects of multiscaling are isolated. | | Source: | arXiv, cond-mat/0606299 | | Services: | Forum | Review | PDF | Favorites | |
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