CornerMultifractality for Reflex Angles and Conformal Invariance at 2D AndersonMetal-Insulator Transitionwith Spin-Orbit Scattering

نویسندگان

  • H. Obuse
  • A. R. Subramaniam
  • A. W. W. Ludwig
چکیده

We investigate boundary multifractality of critical wave functions at the Anderson metal-insulator transition in twodimensional 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 < π to 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. 97 (2006) 046803, for corners.

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تاریخ انتشار 2008