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

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dc.creatorObuse, H.
dc.creatorSubramaniam, A. R.
dc.creatorFurusaki, A.
dc.creatorGruzberg, I. A.
dc.creatorLudwig, A. W. W.
dc.date2008-04-15
dc.date2008-09-08
dc.date.accessioned2026-07-07T12:14:24Z
dc.date.available2026-07-07T12:14:24Z
dc.descriptionWe 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.
dc.description4 pages, 3 figures, v2, published version
dc.identifierhttps://arxiv.org/abs/0804.2409
dc.identifierhttp://arxiv.org/abs/0804.2409
dc.identifierPhys.Rev.Lett.101:116802,2008
dc.identifierdoi:10.1103/PhysRevLett.101.116802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211178
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStatistical Mechanics
dc.titleBoundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory
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