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
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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