Wave function statistics at the symplectic 2D Anderson transition: bulk properties
A. Mildenberger, F. Evers
Abstract
The wavefunction statistics at the Anderson transition in a 2d disordered electron gas with spin-orbit coupling is studied numerically. In addition to highly accurate exponents (α0=2.172 0.002, τ2=1.642 0.004), we report three qualitative results: (i) the anomalous dimensions are invariant under q (1-q) which is in agreement with a recent analytical prediction and supports the universality hypothesis. (ii) The multifractal spectrum is not parabolic and therefore differs from behavior suspected, e.g., for (integer) quantum Hall transitions in a fundamental way. (iii) The critical fixed point satisfies conformal invariance.
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