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RESEARCH PRODUCT
Fluctuations in mesoscopic systems
Heiko GrussbachMichael Schreibersubject
PhysicsLanczos resamplingMesoscopic physicsFractalGeneral Chemical EngineeringQuantum mechanicsGeneral Physics and AstronomyMultifractal systemExponential decaySingularity spectrumCondensed Matter::Disordered Systems and Neural NetworksAnderson impurity modelFractal dimensiondescription
Abstract Electronic wavefunctions in weakly disordered systems have been studied within the Anderson model of localization. The eigenstates calculated by means of the Lanczos diagonalization algorithm display characteristic spatial fluctuations that can be described by a multifractal analysis. For increasing disorder or energy the observed curdling of the wavefunction reflects the stronger localization, but no exponential decay can be observed. This is reflected in the set of generalized fractal dimensions and the singularity spectrum of the fractal measure.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-04-01 | Philosophical Magazine B |