2009/09/30 by Markus Mueller, M. Müller
Physics and Astronomy · #Critical exponent #Critical phenomena #Exponent #Function (biology) #Multifractal system #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Scaling #Scaling law #Spectral line #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.supr-con
paper · pdf · doi:10.1002/andp.200910393
published as Ann. Phys. (Berlin) 18, No. 12, 849 (2009). · Discussion about 2d case added. Proceddings of TIDS 13, to be published in Annals of Physics
arxiv created 2009/10/26 · openalex publication_date 2009/12/23 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.