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University of Birmingham > Talks@bham > Theoretical Physics Seminars > Multifractal analysis with the probability density function at the 3D Anderson transition
![]() Multifractal analysis with the probability density function at the 3D Anderson transitionAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Dr Dimitri M Gangardt. The probability density function (PDF) for critical wavefunction amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum $f(\alpha)$ in which the role of finite-size corrections is properly analysed. We show the existence of a symmetry relation in the PDF . From the PDF , we extract information about the multifractal spectrum at criticality such as the presence of negative fractal dimensions. The critical exponents of the metal-insulator transition could also be obtained from the distribution of wavefunction amplitudes. A PDF -based multifractal analysis is shown to be a valid alternative to the standard approach based on the scaling of inverse participation ratios. This talk is part of the Theoretical Physics Seminars series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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