Spatial and spectral multifractality of the local density of states at the mobility edge
- Institut fuer Theoretische Physik, Universitaet zu Koeln, D-50937 Koeln (Germany)
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{sub {omega}}{proportional_to}{omega}{sup {minus}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 wave-function amplitude of a wave packet, providing a numerically efficient way to obtain information about the multifractal exponents of the system. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 530964
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 55, Issue 12; Other Information: PBD: Mar 1997
- Country of Publication:
- United States
- Language:
- English
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