6533b85bfe1ef96bd12bb301

RESEARCH PRODUCT

Electronic States in Mesoscopic Systems

Heiko GrussbachMichael SchreiberMartin Ottomeier

subject

PhysicsMesoscopic physicsFractalCondensed matter physicsMultifractal systemTransmission coefficientStatistical physicsCondensed Matter PhysicsSingularity spectrumFractal dimensionMeasure (mathematics)Anderson impurity model

description

Abstract Electronic states in disordered systems are studied within the Anderson model of localization. By means of the Green's function technique we derive the transmission coefficient for electronic states through mesoscopic samples. The transmission coefficient is shown to be not self-averaging due to strong spatial fluctuations of the amplitude of the eigenstates, which are obtained by direct diagonalization of the respective secular matrices. The wave functions display a multifractal behaviour, characterized by the set of generalized fractal dimensions and the singularity spectrum of the fractal measure.

yearjournalcountryeditionlanguage
1992-06-01Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals
https://doi.org/10.1080/10587259208028751