Surface criticality and multifractality at localization transitions

Details Surface criticality and multifractality at localization transitions Surface criticality and multifractality at localization transitions

2005-12-02

arxiv.org/abs/cond-mat/0512040v2

Phys. Rev. Lett. 96, 126802 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Published version

Scientific paper

10.1103/PhysRevLett.96.126802

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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