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

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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.
4 pages, 2 figures, Proceedings of EP2DS-17

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Disordered Systems and Neural Networks, Mesoscale and Nanoscale Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/157470

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1018
 http://arxiv.org/abs/0709.1018
 Physica E 40, 1404 (2008)
 doi:10.1016/j.physe.2007.09.024

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arXiv