Surface criticality and multifractality at localization transitions

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.

Published version

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Cited by in corpus (42)

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• Exact relations between multifractal exponents at the Anderson transition
• Observation of multifractality in Anderson localization of ultrasound
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• Multifractality at the quantum Hall transition: Beyond the parabolic paradigm
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