Multifractal electronic wave functions in the Anderson model of localization

Journal Article · Sat Jun 20 04:00:00 EDT 1992 · Modern Physics Letters B; (Singapore)

DOI:https://doi.org/10.1142/S0217984992001708· OSTI ID:7026717

Schreiber, M; Grussbach, H ^[1]

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1. Inst. fur Physikalische Chemie, Johannes-Gutenberg Univ., Jakob-Welder, Weg 11 D-6500 Main (DE)

In this paper, 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.

• OSTI ID: 7026717
• Journal Information: Modern Physics Letters B; (Singapore), Journal Name: Modern Physics Letters B; (Singapore) Vol. 6:14; ISSN MPLBE; ISSN 0217-9849
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CARRIER MOBILITY
DOCUMENT TYPES
ELECTRON SPECTRA
ELECTRONS
ELEMENTARY PARTICLES
ENERGY LEVELS
FERMIONS
FRACTALS
FUNCTIONS
LEPTONS
MOBILITY
RANDOMNESS
REVIEWS
SINGULARITY
SOLIDS
SPECTRA
THREE-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS