6533b7d8fe1ef96bd126b68b

RESEARCH PRODUCT

Multifractal Properties of Eigenstates in Weakly Disordered Two-Dimensional Systems without Magnetic Field

Michael Schreiber

subject

Physicssymbols.namesakeFractalQuantum mechanicssymbolsMultifractal systemEigenfunctionSingularity spectrumWave functionHamiltonian (quantum mechanics)Fractal dimensionEigenvalues and eigenvectors

description

In order to investigate the electronic states in weakly disordered 2D samples very large (up to 180 000 * 180 000) secular matrices corresponding to the Anderson Hamiltonian are diagonalized. The analysis of the resulting wave functions shows multifractal fluctuations on all length scales in the considered systems. The set of generalized (fractal) dimensions and the singularity spectrum of the fractal measure are determined in order to completely characterize the eigenfunctions.

yearjournalcountryeditionlanguage
1992-01-01
https://doi.org/10.1007/978-94-011-3190-2_11