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Paper   IPM / Physic / 12331
School of Physics
  Title:   Metal-Insulator Transition in Three Dimensional Anderson Superlattice with Rough Interfaces
1.  S. Jafari
2.  A. Sheikhan
3.  A. Esmailpour
4.  M. Anvari
5.  M. R. Rahimi Tabar
  Status:   Published
  Journal: Phys. Rev. B
  Vol.:  85
  Year:  2012
  Pages:   224204
  Supported by:  IPM
The system consists of layers with in average constant width and rough interfaces. In the thermodynamic limit the numerical results show that the system in two dimensions is insulator in the presence of small roughness. However in three dimensions the system shows a Metal-Insulator transition and possess a mobility edge. For three dimensional superlattice the localization length follows a power-law near the mobility edge ξ(E)  ∼ (EcE)−ν, where the exponent is ν ≅ 0.9. We also show that the existence of the extended states in three dimensional superlattices cause a finite dc-conductivity in the limit M/L → ∞, where L is the length and M is the width of the bar.

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