Surface criticality and multifractality at localization transitions
AR Subramaniam, IA Gruzberg, AWW Ludwig, F Evers… - Physical review …, 2006 - APS
Physical review letters, 2006•APS
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.
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.
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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