Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-09-07
Physica E 40, 1404 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures, Proceedings of EP2DS-17
Scientific paper
10.1016/j.physe.2007.09.024
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.
Furusaki Akira
Gruzberg Ilya A.
Ludwig Andreas W. W.
Obuse Hideaki
Subramaniam Arvind R.
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