Anderson model with decaying randomness: mobility edge

W. Kirsch; M. Krishna; J. Obermeit

doi:10.1007/s002090000136

Anderson model with decaying randomness: mobility edge

Mathematische Zeitschrift ◽

10.1007/s002090000136 ◽

2000 ◽

Vol 235 (3) ◽

pp. 421-433 ◽

Cited By ~ 11

Author(s):

W. Kirsch ◽

M. Krishna ◽

J. Obermeit

Keyword(s):

Anderson Model ◽

Mobility Edge

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Boundary hopping and the mobility edge in the Anderson model in three dimensions

Physical Review B ◽

10.1103/physrevb.75.113101 ◽

2007 ◽

Vol 75 (11) ◽

Cited By ~ 2

Author(s):

Viktor Z. Cerovski

Keyword(s):

Anderson Model ◽

Three Dimensions ◽

Mobility Edge

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Stochastic resonances and the mobility edge in a three-dimensional tight-binding Anderson model

Physical Review B ◽

10.1103/physrevb.50.4867 ◽

1994 ◽

Vol 50 (7) ◽

pp. 4867-4870 ◽

Cited By ~ 3

Author(s):

Indra Dasgupta ◽

Tanusri Saha ◽

Abhijit Mookerjee

Keyword(s):

Anderson Model ◽

Tight Binding ◽

Three Dimensional ◽

Mobility Edge

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Electron localisation near the mobility edge in the Anderson model

Journal of Non-Crystalline Solids ◽

10.1016/0022-3093(85)90603-9 ◽

1985 ◽

Vol 77-78 ◽

pp. 29-32 ◽

Cited By ~ 3

Author(s):

Bogdan Bulka ◽

Bernhard Kramer ◽

Ludwig Schweitzer

Keyword(s):

Anderson Model ◽

Mobility Edge

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Mobility edge in the three dimensional Anderson model

Zeitschrift für Physik B Condensed Matter ◽

10.1007/bf01312638 ◽

1985 ◽

Vol 60 (1) ◽

pp. 13-17 ◽

Cited By ~ 67

Author(s):

B. R. Buŀka ◽

B. Kramer ◽

A. MacKinnon

Keyword(s):

Anderson Model ◽

Three Dimensional ◽

Mobility Edge

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MULTIFRACTAL ELECTRONIC WAVE FUNCTIONS IN THE ANDERSON MODEL OF LOCALIZATION

Modern Physics Letters B ◽

10.1142/s0217984992001708 ◽

1992 ◽

Vol 06 (14) ◽

pp. 851-862 ◽

Cited By ~ 18

Author(s):

MICHAEL SCHREIBER ◽

HEIKO GRUSSBACH

Keyword(s):

Anderson Model ◽

Wave Functions ◽

Mobility Edge ◽

Electronic Wave ◽

Extended States ◽

Electronic Wave Functions ◽

Generalized Dimensions ◽

Mass Exponents ◽

Characteristic Mass

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.

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