Fracton Superconductivity in Quasicrystals --- A Theoretical Possibility Suggested by Experiment
K. Moulopoulos, F. Cyrot-Lackmann
Abstract
Scattering of electrons due to fractons can result in a resistivity that decreases with temperature. Such a behavior also appears in real quasicrystals. If this is then attributed to fracton scattering, fracton-superconductivity would be theoretically possible. By fitting with the scattering result the experimental resistivity data for the AlPdMn quasicrystal, we estimate the corresponding Tc. This effective fracton interpretation, not unexpected for a self-similar system, is also found consistent with other experiments on thermal and acoustic properties of the AlPdMn quasicrystal.
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