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

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

1995-06-15

arxiv.org/abs/cond-mat/9506069v1

Physics

Condensed Matter

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

Scientific paper

10.1088/0953-8984/7/23/001

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 $\widetilde{D}_{2}$ and of the fractal eigenstate $D_{2}$ are calculated and shown to be related by $D_{2}=2\widetilde{D}_{2}$. The exponent $\eta=0.35\pm 0.05$ describing the energy correlations of the critical eigenstates is found to satisfy the relation $\eta=2-D_{2}$.

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