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arXiv · 0709.1018

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

Hideaki Obuse·Arvind R. Subramaniam·Akira Furusaki·Ilya A. Gruzberg·Andreas W. W. Ludwig
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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 θ=3π/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 θ< πto θ> π, 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.

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BibTeXRIS

Hideaki Obuse, Arvind R. Subramaniam, Akira Furusaki, Ilya A. Gruzberg, Andreas W. W. Ludwig. 2008-03-27. Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering. https://doi.org/10.1016/j.physe.2007.09.024

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