Surface criticality and multifractality at localization transitions |
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Authors: | Subramaniam A R Gruzberg I A Ludwig A W W Evers F Mildenberger A Mirlin A D |
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Affiliation: | James Franck Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA. |
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Abstract: | We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at a LD transition is different from that in the bulk. We illustrate this point with a calculation of boundary critical and multifractal behavior at the 2D spin quantum Hall transition and in a 2D metal at scales below the localization length. |
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