Aug 29, 2002

Metal-insulator transition in chains with correlated disorder

Nature
Pedro CarpenaH Eugene Stanley

Abstract

According to Bloch's theorem, electronic wavefunctions in perfectly ordered crystals are extended, which implies that the probability of finding an electron is the same over the entire crystal. Such extended states can lead to metallic behaviour. But when disorder is introduced in the crystal, electron states can become localized, and the system can undergo a metal-insulator transition (also known as an Anderson transition). Here we theoretically investigate the effect on the physical properties of the electron wavefunctions of introducing long-range correlations in the disorder in one-dimensional binary solids, and find a correlation-induced metal-insulator transition. We perform numerical simulations using a one-dimensional tight-binding model, and find a threshold value for the exponent characterizing the long-range correlations of the system. Above this threshold, and in the thermodynamic limit, the system behaves as a conductor within a broad energy band; below threshold, the system behaves as an insulator. We discuss the possible relevance of this result for electronic transport in DNA, which displays long-range correlations and has recently been reported to be a one-dimensional disordered conductor.

  • References19
  • Citations29

References

  • References19
  • Citations29

Citations

Mentioned in this Paper

Thermodynamics
Crystal - Body Material
Fast Electrons
Congenital, Hereditary, and Neonatal Diseases and Abnormalities
Metals
Electric Conductivity
Normal Statistical Distribution
Crystal Structure
Dimerization
Crystal Present Or Absent (Lab Procedure)

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