6533b820fe1ef96bd127a3af
RESEARCH PRODUCT
Dimensionality Dependence of the Metal-Insulator Transition in the Anderson Model of Localization
Heiko GrussbachMichael Schreibersubject
PhysicsSpectral dimensionGeneral Physics and AstronomyStatistical physicsMetal–insulator transitionCritical dimensionCritical exponentFractal dimensionAnderson impurity modelCurse of dimensionalitydescription
The metal-insulator transition is investigated by means of the transfer-matrix method to describe the critical behavior close to the lower critical dimension 2. We study several bifractal systems with fractal dimensions between 2 and 3. Together with 3D and 4D results, these data give a coherent description of the dimensionality dependence of the critical disorder and the critical exponent in terms of the spectral dimension of the samples. We also show that the upper critical dimension is probably infinite, certainly larger than 4.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-03-04 | Physical Review Letters |