Boundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory release_x3u5k5qswfgkziylnrowmvlgca

by H. Obuse, A. R. Subramaniam, A. Furusaki, I. A. Gruzberg, A. W. W. Ludwig

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2008  

Abstract

We study multifractal spectra of critical wave functions at the integer quantum Hall plateau transition using the Chalker-Coddington network model. Our numerical results provide important new constraints which any critical theory for the transition will have to satisfy. We find a non-parabolic multifractal spectrum and we further determine the ratio of boundary to bulk multifractal exponents. Our results rule out an exactly parabolic spectrum that has been the centerpiece in a number of proposals for critical field theories of the transition. In addition, we demonstrate analytically exact parabolicity of related boundary spectra in the 2D chiral orthogonal `Gade-Wegner' symmetry class.
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Date   2008-04-15
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arXiv  0804.2409v1
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