Boundary criticality and multifractality at the 2D spin quantum Hall transition
arXiv:0803.1343 · doi:10.1103/PhysRevB.78.245105
Abstract
Multifractal 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.
v2, 17 pages, 10 figures, published version
References in corpus (5)
- Anderson Transitions
- Associative-algebraic approach to logarithmic conformal field theories
- Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
- Boundary multifractality in critical 1D systems with long-range hopping
- Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering