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

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dc.creatorObuse, Hideaki
dc.creatorSubramaniam, Arvind R.
dc.creatorFurusaki, Akira
dc.creatorGruzberg, Ilya A.
dc.creatorLudwig, Andreas W. W.
dc.date2007-09-07
dc.date2008-03-27
dc.date.accessioned2026-07-07T09:28:34Z
dc.date.available2026-07-07T09:28:34Z
dc.descriptionWe 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.
dc.description4 pages, 2 figures, Proceedings of EP2DS-17
dc.identifierhttps://arxiv.org/abs/0709.1018
dc.identifierhttp://arxiv.org/abs/0709.1018
dc.identifierPhysica E 40, 1404 (2008)
dc.identifierdoi:10.1016/j.physe.2007.09.024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157470
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleCorner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering
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