6533b833fe1ef96bd129b9bc
RESEARCH PRODUCT
Spatial multifractal properties of wave packets in the Anderson model of localization.
Heiko GrussbachMichael Schreibersubject
PhysicsAnderson localizationQuantum mechanicsWave packetMultifractal systemElectronic structureStatistical physicsStatistical fluctuationsSingularity spectrumWave functionCondensed Matter::Disordered Systems and Neural NetworksAnderson impurity modeldescription
The multifractal properties of electronic wave functions in disordered samples are investigated. In a given energy range all eigenstates are determined for the same disorder configuration in the Anderson model of localization. It is shown that the singularity spectrum and the generalized dimensions change only slowly with energy, aside from statistical fluctuations. More important, the wave packet constructed by linear combination of the eigenstates shows quantitatively the same multifractal properties. Consequences for the transport properties of electronic states in disordered systems are discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-09-01 | Physical review. B, Condensed matter |