Scaling law and critical exponent for α0 at the 3D Anderson transition |
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| Authors: | L.J. Vasquez K. Slevin A. Rodriguez R.A. Roemer |
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| Affiliation: | 1. Department of Physics, Graduate School of Science, Osaka University, 1‐1 Machikaneyama, Toyonaka, Osaka 560‐0043, Japan;2. Department of Physics and Centre for Scientific Computing, University of Warwick, Coventry, CV4 7AL, United Kingdom |
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| Abstract: | We use high‐precision, large system‐size wave function data to analyse the scaling properties of the multifractal spectra around the disorder‐induced three‐dimensional Anderson transition in order to extract the critical exponents of the transition. Using a previously suggested scaling law, we find that the critical exponent ν is significantly larger than suggested by previous results. We speculate that this discrepancy is due to the use of an oversimplified scaling relation. |
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| Keywords: | Anderson transition multifractal analysis scaling relation critical exponent. |
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