English

Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering

Disordered Systems and Neural Networks 2008-03-27 v2 Mesoscale and Nanoscale Physics

Abstract

We investigate boundary multifractality of critical wave functions at the Anderson metal-insulator transition in two-dimensional disordered non-interacting electron systems with spin-orbit scattering. We show numerically that multifractal exponents at a corner with an opening angle \theta=3\pi/2 are directly related to those near a straight boundary in the way dictated by conformal symmetry. This result extends our previous numerical results on corner multifractality obtained for \theta < \pi to \theta > \pi, and gives further supporting evidence for conformal invariance at criticality. We also propose a refinement of the validity of the symmetry relation of A. D. Mirlin et al., Phys. Rev. Lett. \textbf{97} (2006) 046803, for corners.

Keywords

Cite

@article{arxiv.0709.1018,
  title  = {Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering},
  author = {Hideaki Obuse and Arvind R. Subramaniam and Akira Furusaki and Ilya A. Gruzberg and Andreas W. W. Ludwig},
  journal= {arXiv preprint arXiv:0709.1018},
  year   = {2008}
}

Comments

4 pages, 2 figures, Proceedings of EP2DS-17