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RESEARCH PRODUCT
Fractal eigenstates in disordered systems
Michael Schreibersubject
Statistics and ProbabilityMathematical analysisInverseElectronCondensed Matter PhysicsFractal dimensionsymbols.namesakeFractalFractal derivativesymbolsTransmission coefficientStatistical physicsWave functionHamiltonian (quantum mechanics)Mathematicsdescription
Abstract The wave functions of the non-interacting electrons in disordered systems described by a tight-binding model with site-diagonal disorder are investigated by means of the inverse participation ratio. The wave functions are shown to be fractal objects. In three-dimensional samples, a critical fractal dimension can be defined for the mobility edge in the band centre, which yields the mobility edge trajectory in the whole energy range in good agreement with previous calculations based on the investigation of the exponentially decaying transmission coefficient.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-08-01 | Physica A: Statistical Mechanics and its Applications |