• DOI:10.1103/PhysRevLett.98.156802
• Corpus ID: 38724601

Multifractality and conformal invariance at 2D metal-insulator transition in the spin-orbit symmetry class.

@article{Obuse2006MultifractalityAC,
  title={Multifractality and conformal invariance at 2D metal-insulator transition in the spin-orbit symmetry class.},
  author={Hideaki Obuse and Arvind Rasi Subramaniam and Akira Furusaki and Ilya A. Gruzberg and Andreas W. W. Ludwig},
  journal={Physical review letters},
  year={2006},
  volume={98 15},
  pages={
          156802
        }
}

• H. Obuse, A. Subramaniam, +2 authors A. Ludwig
• Published 7 September 2006
• Physics
• Physical review letters

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.