title: Multifractality and conformal invariance at 2D metal-insulator transition in the spin-orbit symmetry class.
abstract: We study the multifractality (MF) of critical wave functions at boundaries and corners at the metal-insulator transition (MIT) for noninteracting electrons in the two-dimensional (2D) spin-orbit (symplectic) universality class. We find that the MF exponents near a boundary are different from those in the bulk. The exponents at a corner are found to be directly related to those at a straight boundary through a relation arising from conformal invariance. This provides direct numerical evidence for conformal invariance at the 2D spin-orbit MIT. The presence of boundaries modifies the MF of the whole sample even in the thermodynamic limit.
authors.affiliation: Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198, Japan.
authors.forename: H
authors.initials: H
authors.lastname: Obuse
authors.forename: A R
authors.initials: AR
authors.lastname: Subramaniam
authors.forename: A
authors.initials: A
authors.lastname: Furusaki
authors.forename: I A
authors.initials: IA
authors.lastname: Gruzberg
authors.forename: A W W
authors.initials: AW
authors.lastname: Ludwig