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

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

2008-04-15

arxiv.org/abs/0804.2409v2

Phys.Rev.Lett.101:116802,2008

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, v2, published version

Scientific paper

10.1103/PhysRevLett.101.116802

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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