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