6533b7d1fe1ef96bd125c17b

RESEARCH PRODUCT

MULTIFRACTAL ELECTRONIC WAVE FUNCTIONS IN THE ANDERSON MODEL OF LOCALIZATION

Heiko GrussbachMichael Schreiber

subject

PhysicsStatistical and Nonlinear PhysicsElementary particleMultifractal systemCondensed Matter PhysicsCondensed Matter::Disordered Systems and Neural NetworksMeasure (mathematics)SingularityFractalQuantum mechanicsStatistical physicsWave functionAnderson impurity modelRandomness

description

Investigations of the multifractal properties of electronic wave functions in disordered samples are reviewed. The characteristic mass exponents of the multifractal measure, the generalized dimensions and the singularity spectra are discussed for typical cases. New results for large 3D systems are reported, suggesting that the multifractal properties at the mobility edge which separates localized and extended states are independent of the microscopic details of the model.

https://doi.org/10.1142/s0217984992001708