Boundary criticality and multifractality at the 2D spin quantum Hall transition

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dc.creatorSubramaniam, Arvind R.
dc.creatorGruzberg, Ilya A.
dc.creatorLudwig, Andreas W. W.
dc.date2008-03-10
dc.date2008-12-07
dc.date.accessioned2026-07-07T12:09:33Z
dc.date.available2026-07-07T12:09:33Z
dc.descriptionMultifractal scaling of critical wave functions at a disorder-driven (Anderson) localization transition is modified near boundaries of a sample. Here this effect is studied for the example of the spin quantum Hall plateau transition using the supersymmetry technique for disorder averaging. Upon mapping of the spin quantum Hall transition to the classical percolation problem with reflecting boundaries, a number of multifractal exponents governing wave function scaling near a boundary are obtained exactly. Moreover, additional exact boundary scaling exponents of the localization problem are extracted, and the problem is analyzed in other geometries.
dc.descriptionv2, 17 pages, 10 figures, published version
dc.identifierhttps://arxiv.org/abs/0803.1343
dc.identifierhttp://arxiv.org/abs/0803.1343
dc.identifierPhys. Rev. B 78, 245105 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.245105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209666
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStatistical Mechanics
dc.titleBoundary criticality and multifractality at the 2D spin quantum Hall transition
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