Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-01-17
Phys. Rev. B 55, R7303 (1997)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
updated 2 references, no further changes
Scientific paper
10.1103/PhysRevB.55.R7303
We performed numerical calculations of the local density of states (LDOS) at disorder induced localization-delocalization transitions. The LDOS defines a spatial measure for fixed energy and a spectral measure for fixed position. At the mobility edge both measures are multifractal and their generalized dimensions $D(q)$ and $\tilde{D}(q)$ are found to be proportional: $D(q)=d\tilde{D}(q)$, where $d$ is the dimension of the system. This observation is consistent with the identification of the frequency-dependent length scale $L_\omega \propto \omega^{-1/d}$ as an effective system size. The calculations are performed for two- and three-dimensional dynamical network models with local time evolution operators. The energy dependence of the LDOS is obtained from the time evolution of the local wavefunction amplitude of a wave packet, providing a numerically efficient way to obtain information about the multifractal exponents of the system.
Huckestein Bodo
Klesse Rochus
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