title: 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.
authors.affiliation: James Franck Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA.
authors.forename: A R
authors.initials: AR
authors.lastname: Subramaniam
authors.forename: I A
authors.initials: IA
authors.lastname: Gruzberg
authors.forename: A W W
authors.initials: AW
authors.lastname: Ludwig
authors.forename: F
authors.initials: F
authors.lastname: Evers
authors.forename: A
authors.initials: A
authors.lastname: Mildenberger
authors.forename: A D
authors.initials: AD
authors.lastname: Mirlin