6533b825fe1ef96bd128293a
RESEARCH PRODUCT
Multifractal wave functions at the Anderson transition.
Heiko GrussbachMichael Schreibersubject
PhysicsFractalAmplitudeGeneral Physics and AstronomyLanczos algorithmMultifractal systemSingularity spectrumWave functionCondensed Matter::Disordered Systems and Neural NetworksAnderson impurity modelFractal dimensionMathematical physicsdescription
Electronic wave functions in disordered systems are studied within the Anderson model of localization. At the critical disorder in 3D we diagonalize very large (103 823\ifmmode\times\else\texttimes\fi{}103 823) secular matrices by means of the Lanczos algorithm. On all length scales the obtained strong spatial fluctuations of the amplitude of the eigenstates display a multifractal character, reflected in the set of generalized fractal dimensions and the singularity spectrum of the fractal measure. An analysis of 1D systems shows multifractality too, in contrast to previous claims.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-07-29 | Physical review letters |