Multifractal properties of critical eigenstates in two-dimensional systems with symplectic symmetry

Abstract

The multifractal properties of electronic eigenstates at the metal-insulator transition of a two-dimensional disordered tight-binding model with spin-orbit interaction are investigated numerically. The correlation dimensions of the spectral measure ${\tilde{D}}_2$ and of the fractal eigenstate $D_2$ are calculated and shown to be related by $D_2=2{\tilde{D}}_2$. The exponent $\eta =0.35\pm 0.05$ describing the energy correlations of the critical eigenstates is found to satisfy the relation $\eta =2-D_2$.

6 pages RevTeX; 3 uuencoded, gzipped ps-figures to appear in J. Phys. Condensed Matter

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